Finding the Third Proportional to 3,792 and 9,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,792 : 9,142.50 = 9,142.50 : x
2. Step 2: Convert to fraction form
   3,792/9,142.50 = 9,142.50/x
3. Step 3: Cross multiply
   3,792x = 9,142.50 × 9,142.50
4. Step 4: Simplify right side
   3,792x = 83,585,306.25
5. Step 5: Solve for x
   x = 83,585,306.25/3,792
6. Step 6: Final answer
   x = 22,042.54