Finding the Third Proportional to 32,139 and 69,624

Step by Step Solution

1. Step 1: Write the proportion equation
   32,139 : 69,624 = 69,624 : x
2. Step 2: Convert to fraction form
   32,139/69,624 = 69,624/x
3. Step 3: Cross multiply
   32,139x = 69,624 × 69,624
4. Step 4: Simplify right side
   32,139x = 4,847,501,376
5. Step 5: Solve for x
   x = 4,847,501,376/32,139
6. Step 6: Final answer
   x = 150,829.25