Finding the Third Proportional to 11,744 and 25,675

Step by Step Solution

1. Step 1: Write the proportion equation
   11,744 : 25,675 = 25,675 : x
2. Step 2: Convert to fraction form
   11,744/25,675 = 25,675/x
3. Step 3: Cross multiply
   11,744x = 25,675 × 25,675
4. Step 4: Simplify right side
   11,744x = 659,205,625
5. Step 5: Solve for x
   x = 659,205,625/11,744
6. Step 6: Final answer
   x = 56,131.27