How to find μ₃ for a distribution?

Question:

Find μ₃ for a distribution when Pearsonian's Coefficient of Skewness (γ₁) = 1 and Standard Deviation = 4.

Step 1: Find μ₂

∵ Standard Deviation = 4, Variance = 4² = 16

Variance = μ₂ = 16

Step 2: Find β₁

γ₁ = √β₁

∴ 1 = √β₁

∴ β₁ = 1²

∴ β₁ = 1

Step 2: Find μ₃

β₁ = μ₃² / μ₂³

∴ 1 = μ₃² / 16³

∴ μ₃² = 16 x 16 x 16

∴ μ₃ = √[16 x 16 x 16]

∴ μ₃ = 4 x 4 x 4

∴ μ₃ = 64

μ₃ for a distribution is 64 when Pearsonian's Coefficient of Skewness (γ₁) = 1 and Standard Deviation = 4.