Finding the Third Proportional to 32,787 and 71,529

Step by Step Solution

1. Step 1: Write the proportion equation
   32,787 : 71,529 = 71,529 : x
2. Step 2: Convert to fraction form
   32,787/71,529 = 71,529/x
3. Step 3: Cross multiply
   32,787x = 71,529 × 71,529
4. Step 4: Simplify right side
   32,787x = 5,116,397,841
5. Step 5: Solve for x
   x = 5,116,397,841/32,787
6. Step 6: Final answer
   x = 156,049.59