Wooden strings can be problematic for some.
Send the first Space Egg low and activate it right above the leftmost TNT. If you’re not too close this should send the TNT into the wooden string which is holding the first asteroid in place. Now fling the next Space Egg so it goes above the TNT and the middle asteroid, detonating it at the bottom left side of the asteroid. This should cause the asteroid to swing to the left and then back to right taking out the rightmost tower.