Finding the Third Proportional to 11,749 and 25,604

Step by Step Solution

1. Step 1: Write the proportion equation
   11,749 : 25,604 = 25,604 : x
2. Step 2: Convert to fraction form
   11,749/25,604 = 25,604/x
3. Step 3: Cross multiply
   11,749x = 25,604 × 25,604
4. Step 4: Simplify right side
   11,749x = 655,564,816
5. Step 5: Solve for x
   x = 655,564,816/11,749
6. Step 6: Final answer
   x = 55,797.50