Step 1 :Multiply both sides of the equation by 12 to get rid of the denominator on the right side: \(27 * 12 = p^{2}\)
Step 2 :Calculate the value of \(p^{2}\): \(p^{2} = 324\)
Step 3 :Take the square root of both sides to solve for p: \(p = \sqrt{324}\)
Step 4 :Calculate the value of p: \(p = 18.0\)
Step 5 :Final Answer: \(\boxed{18.0}\)