Finding the Third Proportional to 32,008 and 47,022

Step by Step Solution

1. Step 1: Write the proportion equation
   32,008 : 47,022 = 47,022 : x
2. Step 2: Convert to fraction form
   32,008/47,022 = 47,022/x
3. Step 3: Cross multiply
   32,008x = 47,022 × 47,022
4. Step 4: Simplify right side
   32,008x = 2,211,068,484
5. Step 5: Solve for x
   x = 2,211,068,484/32,008
6. Step 6: Final answer
   x = 69,078.62