Finding the Third Proportional to 32,632 and 69,533

Step by Step Solution

1. Step 1: Write the proportion equation
   32,632 : 69,533 = 69,533 : x
2. Step 2: Convert to fraction form
   32,632/69,533 = 69,533/x
3. Step 3: Cross multiply
   32,632x = 69,533 × 69,533
4. Step 4: Simplify right side
   32,632x = 4,834,838,089
5. Step 5: Solve for x
   x = 4,834,838,089/32,632
6. Step 6: Final answer
   x = 148,162.48