You guys can pray all you want, it's not a soleniod issue.
Take a look at the trans info/links thread I posted a while back and you'll see that first, second and fourth use the soleniods. Third gear uses no soleniods. The basics are if three of your gears work, that's covering all combinations of on and off for both soleniods, which means when you get to third that doesn't use either soleniod, it should work find because the other three gears do test for both on and off of both soleniods. Hence...this most likely isn't a soleniod issue. Sorrrrrry.
It is possible there is too much torque/power for the gear to grab and that's why you are bouncing off the limiter. The third gear clutches probably take the most abuse/wear of any clutches in our transmissions.
Not sure where you are located, maybe you could do a "Scottydoggs" and fix it quick and easy.