In an uniform magnetic field the magnetic needle completes 10 oscillations in 92 seconds. When a small magnet is placed in the magnetic meridian 10cm due north of needle with north pole towards south , it completes 15 oscillations in 69 seconds. The magnetic moment of magnet $\left({\mathrm{B}}_{\mathrm{H}}=0.3\mathrm{G}\right)$ is $(0.15\times \mathrm{x})\mathrm{Am}$ . Then the value of x is  .