Finding the Third Proportional to 32,832 and 69,591

Step by Step Solution

1. Step 1: Write the proportion equation
   32,832 : 69,591 = 69,591 : x
2. Step 2: Convert to fraction form
   32,832/69,591 = 69,591/x
3. Step 3: Cross multiply
   32,832x = 69,591 × 69,591
4. Step 4: Simplify right side
   32,832x = 4,842,907,281
5. Step 5: Solve for x
   x = 4,842,907,281/32,832
6. Step 6: Final answer
   x = 147,505.70