Use a wireless repeater, an access point or a powerline adapter, or go to a mesh network. Strictly speaking those aren't routers, so they meet your requirement.
Or move the router to a better place, further from the modem and nearer to the TV. Or go wired.
The TV is too far away from the router so the tv doesn;t pick up the signal. Any ideas on how I can get this connected without having to get another router?