I also have a Georgetown GT3 30X3 and when I discovered that the radio did not have an audio jack (that I use for my Sirius Radio) I ordered a bluetooth transmitter. Bluetooth transmitter connects to any radio with a 3.5mm line out jack and wirelessly transmits via Bluetooth to a nearby stereo with Bluetooth, portable Bluetooth speaker, or Bluetooth headset. Compatible with all other audio devices containing a 3.5mm headphone or line-out jack.
I haven't tried it with the TV, but I will. You may have to get a RCA Plug to 3.5mm adapter.
There are a lot of options on Amazon; I purchased mine from a SiriusXM accessories store and paid way too much for it....