Answer
The current in wire 2 is out of the page.
Work Step by Step
We can write the general expression for the magnetic force on a current-carrying wire due to a parallel current-carrying wire:
$F = \frac{\mu_0~L~i_1~i_2}{2\pi~d}$
Note that currents in the same direction attract each other, and currents in the opposite direction repel each other.
When wire 3 is closer to wire 2, there is a larger positive component of $\frac{F}{L}$ acting on wire 2. This shows that the current in wire 3 exerts a force on wire 2 in the +x direction. Thus the currents in wire 2 and wire 3 must be in the same direction.
Therefore, the current in wire 2 is out of the page.
