Finding the Third Proportional to 31,762 and 67,741

Step by Step Solution

1. Step 1: Write the proportion equation
   31,762 : 67,741 = 67,741 : x
2. Step 2: Convert to fraction form
   31,762/67,741 = 67,741/x
3. Step 3: Cross multiply
   31,762x = 67,741 × 67,741
4. Step 4: Simplify right side
   31,762x = 4,588,843,081
5. Step 5: Solve for x
   x = 4,588,843,081/31,762
6. Step 6: Final answer
   x = 144,475.89