A simple harmonic oscillator has an amplitude \( A \) and time period \( 6\pi \) second. Assuming the oscillation starts from its mean position, the time required by it to travel from \( x = A \) to \( x = \dfrac{\sqrt{3}}{2} A \) will be \( \dfrac{\pi}{x} \, \text{s} \), where \( x = \) __________.
