Finding the Third Proportional to 31,744 and 67,862

Step by Step Solution

1. Step 1: Write the proportion equation
   31,744 : 67,862 = 67,862 : x
2. Step 2: Convert to fraction form
   31,744/67,862 = 67,862/x
3. Step 3: Cross multiply
   31,744x = 67,862 × 67,862
4. Step 4: Simplify right side
   31,744x = 4,605,251,044
5. Step 5: Solve for x
   x = 4,605,251,044/31,744
6. Step 6: Final answer
   x = 145,074.69