Finding the Third Proportional to 30,792 and 67,446

Step by Step Solution

1. Step 1: Write the proportion equation
   30,792 : 67,446 = 67,446 : x
2. Step 2: Convert to fraction form
   30,792/67,446 = 67,446/x
3. Step 3: Cross multiply
   30,792x = 67,446 × 67,446
4. Step 4: Simplify right side
   30,792x = 4,548,962,916
5. Step 5: Solve for x
   x = 4,548,962,916/30,792
6. Step 6: Final answer
   x = 147,731.97