A particle is simultaneously subjected to a force of magnitude \(F_{1}=34 \mathrm{~N}\) along the negative direction of the \(x\) axis, and to a force of magnitude \(F_{2}=25 \mathrm{~N}\) that forms an angle \(\theta=30^{\circ}\) with the positive \(x\) axis. Calculate the magnitude and direction of the force \(\mathbf{F}_{3}\) that needs to be applied to the particle to keep it in static equilibrium.