Finding the Third Proportional to 31,761 and 67,744

Step by Step Solution

1. Step 1: Write the proportion equation
   31,761 : 67,744 = 67,744 : x
2. Step 2: Convert to fraction form
   31,761/67,744 = 67,744/x
3. Step 3: Cross multiply
   31,761x = 67,744 × 67,744
4. Step 4: Simplify right side
   31,761x = 4,589,249,536
5. Step 5: Solve for x
   x = 4,589,249,536/31,761
6. Step 6: Final answer
   x = 144,493.23