Finding the Third Proportional to 5,824 and 12,792

Step by Step Solution

1. Step 1: Write the proportion equation
   5,824 : 12,792 = 12,792 : x
2. Step 2: Convert to fraction form
   5,824/12,792 = 12,792/x
3. Step 3: Cross multiply
   5,824x = 12,792 × 12,792
4. Step 4: Simplify right side
   5,824x = 163,635,264
5. Step 5: Solve for x
   x = 163,635,264/5,824
6. Step 6: Final answer
   x = 28,096.71