Finding the Third Proportional to 11,824 and 25,792

Step by Step Solution

1. Step 1: Write the proportion equation
   11,824 : 25,792 = 25,792 : x
2. Step 2: Convert to fraction form
   11,824/25,792 = 25,792/x
3. Step 3: Cross multiply
   11,824x = 25,792 × 25,792
4. Step 4: Simplify right side
   11,824x = 665,227,264
5. Step 5: Solve for x
   x = 665,227,264/11,824
6. Step 6: Final answer
   x = 56,260.76