Finding the Third Proportional to 31,792 and 67,694

Step by Step Solution

1. Step 1: Write the proportion equation
   31,792 : 67,694 = 67,694 : x
2. Step 2: Convert to fraction form
   31,792/67,694 = 67,694/x
3. Step 3: Cross multiply
   31,792x = 67,694 × 67,694
4. Step 4: Simplify right side
   31,792x = 4,582,477,636
5. Step 5: Solve for x
   x = 4,582,477,636/31,792
6. Step 6: Final answer
   x = 144,139.33