Finding the Third Proportional to 31,424 and 67,792

Step by Step Solution

1. Step 1: Write the proportion equation
   31,424 : 67,792 = 67,792 : x
2. Step 2: Convert to fraction form
   31,424/67,792 = 67,792/x
3. Step 3: Cross multiply
   31,424x = 67,792 × 67,792
4. Step 4: Simplify right side
   31,424x = 4,595,755,264
5. Step 5: Solve for x
   x = 4,595,755,264/31,424
6. Step 6: Final answer
   x = 146,249.85