Two point charges are fixed on the $y$ axis: a negative point charge $q_1=-34C$ at $y_1=+0\mathrm{.}21m$ and a positive point charge $q_2$ at $y_2=+0\mathrm{.}34m.$ A third point charge $q=+8\mathrm{.}2C$ is fixed at the origin. The net electrostatic force exerted on the charge $q$ by the other two charges has a magnitude of $28N$ and points in the $+y$ direction. Determine the magnitude of $q_2.$

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