Finding the Third Proportional to 35,792 and 54,296

Step by Step Solution

1. Step 1: Write the proportion equation
   35,792 : 54,296 = 54,296 : x
2. Step 2: Convert to fraction form
   35,792/54,296 = 54,296/x
3. Step 3: Cross multiply
   35,792x = 54,296 × 54,296
4. Step 4: Simplify right side
   35,792x = 2,948,055,616
5. Step 5: Solve for x
   x = 2,948,055,616/35,792
6. Step 6: Final answer
   x = 82,366.33