Finding the Third Proportional to 32,200 and 71,932

Step by Step Solution

1. Step 1: Write the proportion equation
   32,200 : 71,932 = 71,932 : x
2. Step 2: Convert to fraction form
   32,200/71,932 = 71,932/x
3. Step 3: Cross multiply
   32,200x = 71,932 × 71,932
4. Step 4: Simplify right side
   32,200x = 5,174,212,624
5. Step 5: Solve for x
   x = 5,174,212,624/32,200
6. Step 6: Final answer
   x = 160,689.83