<p>Simple. You need to place the third charge in between them where the repulsive force between the new one and the +5.7 uC charge is equivalent to the repulsive force between the new one and the -3.5 uC charge. Therefore set the two equations equal to eachother... Since they both contain this new charge, it can be disregarded in the equation. Therefore Kq1/^2 = Kq2/(d-x)^2 where K = K, q1 = 5.7 and q2 = -3.5. Solve for x. Too bad I am too lazy to do the math. But thats how I would solve it (and to think, I took standard physics last year and forensic science this year...). I need to take the physics SAT II.</p>