Finding the Third Proportional to 52,820 and 81,792

Step by Step Solution

1. Step 1: Write the proportion equation
   52,820 : 81,792 = 81,792 : x
2. Step 2: Convert to fraction form
   52,820/81,792 = 81,792/x
3. Step 3: Cross multiply
   52,820x = 81,792 × 81,792
4. Step 4: Simplify right side
   52,820x = 6,689,931,264
5. Step 5: Solve for x
   x = 6,689,931,264/52,820
6. Step 6: Final answer
   x = 126,655.27