Finding the Third Proportional to 10,080 and 17,792

Step by Step Solution

1. Step 1: Write the proportion equation
   10,080 : 17,792 = 17,792 : x
2. Step 2: Convert to fraction form
   10,080/17,792 = 17,792/x
3. Step 3: Cross multiply
   10,080x = 17,792 × 17,792
4. Step 4: Simplify right side
   10,080x = 316,555,264
5. Step 5: Solve for x
   x = 316,555,264/10,080
6. Step 6: Final answer
   x = 31,404.29