Two Tiny Particles Having Charges Of $+ 5.00 \mu \mathrm { C }$

Two tiny particles having charges of $+ 5.00 \mu \mathrm { C }$ and $+ 7.00 \mu \mathrm { C }$ are placed along the $x$ -axis. The $+ 5.00 - \mu \mathrm { C }$ particle is at $x = 0.00 \mathrm {~cm}$ , and the other particle is at $x = 100.00 \mathrm {~cm}$ . Where on the $x$ -axis must a third charged particle be placed so that it does not experience any net electrostatic force due to the other two particles?

A) $45.8 \mathrm {~cm}$
B) $9.12 \mathrm {~cm}$
C) $4.58 \mathrm {~cm}$
D) $50 \mathrm {~cm}$
E) $91.2 \mathrm {~cm}$