Finding the Third Proportional to 8,080 and 10,792

Step by Step Solution

1. Step 1: Write the proportion equation
   8,080 : 10,792 = 10,792 : x
2. Step 2: Convert to fraction form
   8,080/10,792 = 10,792/x
3. Step 3: Cross multiply
   8,080x = 10,792 × 10,792
4. Step 4: Simplify right side
   8,080x = 116,467,264
5. Step 5: Solve for x
   x = 116,467,264/8,080
6. Step 6: Final answer
   x = 14,414.27