Finding the Third Proportional to 31,831.50 and 67,146.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,831.50 : 67,146.75 = 67,146.75 : x
2. Step 2: Convert to fraction form
   31,831.50/67,146.75 = 67,146.75/x
3. Step 3: Cross multiply
   31,831.50x = 67,146.75 × 67,146.75
4. Step 4: Simplify right side
   31,831.50x = 4,508,686,035.56
5. Step 5: Solve for x
   x = 4,508,686,035.56/31,831.50
6. Step 6: Final answer
   x = 141,642.27