Can't Connect Xbox 360 Slim Wireless Or Xbox 360 Wired Console

That worked fine for the wireless 360 slim.  I reset to default settings and entered my password again for my network and it connected.  However in the same solution process on the xbox link you posted, I can't resolve the wired consoles connection problems.  When it tells you to go the same route on the wired console (system settings, network settings) or if I choose "test connection" when it fails to sign in, I can't get to the screen that allows you to do a connection test or change the settings.  A window pops up with this -- "When making an internet connection, make sure that an ethernet cable is connected to both your console and your modem or router."  I can't get past that window to change anything.

Thank you for your help with the other console.

Have you just gone one wired console? Has it always been wired and just stopped working? If so have you had any storms lately?

Yes, it is one of the older 360 and it has always been wired with the original ethernet cable that came with the system.  When we bought the Slim we moved it to a different room and bought an extension cable to reach back to the router.  It just stopped working around the time the Slim did, so I assumed it was related.

We've had some heavy rainfall in the last two weeks but nothing drastic that has affected anything else.  

Ok, try a different Ethernet cable and a different port on the router, even try the slim on that Ethernet cable (as a test)

If a different Ethernet cable and/or router port does not help or putting the Slim in the place of the older 360 does work on that Ethernet cable then the Xbox Ethernet port is damaged I'm afraid and will have to be repaired by Microsoft.

Sorry it took so long to respond.  Yes, the Slim connected just fine with the same ethernet cable I had on the old xbox.   Would it be possible to bypass this problem by buying a wireless network adapter and trying to connect to my router in that manner?  Don't they connect via the USB ports and not the cable jack in the back of the console?

Yes the wireless adapters are USB, can't you replace that faulty extension cable instead?

The ethernet cable is fine I would assume, as I used a wired connection with my Slim and it connected just fine.  But it won't connect with the old xbox.  I figured it was as you suggested early, being the actual port on the old xbox that is faulty.  I think you are correct in that.  That's why I asked about a wireless adaptor as oppose to sending it to microsoft to get the port fixed.