A+ proven repair for an iPod touch! Just one jumper wire?
Touch Screen Repair on 3rd generation touch.
Alright, this one repair guide took me time getting a photo, even though it's such an easy repair believe it or not. If you already followed my previous steps here and your 3rd gen touch is still not recognizing the touch screen, get out you soldering station and preferably some thin coated wire. Remove the coating on a section of wire and put some solder on it. Remove some of the coating on the flex cable and put some solder as well. View the picture to see where the wire will connect the main board to the flex cable. This should give your flex cable power from the main board if it didn't have any.
Wow that was short and simple, if you have any questions you can ask me for assistance.