Magnetic Field of Two Bar Magnets

Two identical small bar magnets each of dipole moment $3\sqrt{5}\,\mathrm{J/T}$ are placed at a center to center separation of 10 cm, with their axes perpendicular to each other as shown in figure. The value of magnetic field at the point P midway between the magnets is $\alpha \times 10^{-3}\,\mathrm{T}$. The value of α is _______.
($\mu_0 = 4\pi \times 10^{-7}\,\mathrm{T\,m/A}$)