Finding the Third Proportional to 32,561 and 71,377

Step by Step Solution

1. Step 1: Write the proportion equation
   32,561 : 71,377 = 71,377 : x
2. Step 2: Convert to fraction form
   32,561/71,377 = 71,377/x
3. Step 3: Cross multiply
   32,561x = 71,377 × 71,377
4. Step 4: Simplify right side
   32,561x = 5,094,676,129
5. Step 5: Solve for x
   x = 5,094,676,129/32,561
6. Step 6: Final answer
   x = 156,465.59