Finding the Third Proportional to 11,540 and 25,676

Step by Step Solution

1. Step 1: Write the proportion equation
   11,540 : 25,676 = 25,676 : x
2. Step 2: Convert to fraction form
   11,540/25,676 = 25,676/x
3. Step 3: Cross multiply
   11,540x = 25,676 × 25,676
4. Step 4: Simplify right side
   11,540x = 659,256,976
5. Step 5: Solve for x
   x = 659,256,976/11,540
6. Step 6: Final answer
   x = 57,127.99