Finding the Third Proportional to 31,762 and 71,617

Step by Step Solution

1. Step 1: Write the proportion equation
   31,762 : 71,617 = 71,617 : x
2. Step 2: Convert to fraction form
   31,762/71,617 = 71,617/x
3. Step 3: Cross multiply
   31,762x = 71,617 × 71,617
4. Step 4: Simplify right side
   31,762x = 5,128,994,689
5. Step 5: Solve for x
   x = 5,128,994,689/31,762
6. Step 6: Final answer
   x = 161,482.11