Finding the Third Proportional to 11,569 and 25,080

Step by Step Solution

1. Step 1: Write the proportion equation
   11,569 : 25,080 = 25,080 : x
2. Step 2: Convert to fraction form
   11,569/25,080 = 25,080/x
3. Step 3: Cross multiply
   11,569x = 25,080 × 25,080
4. Step 4: Simplify right side
   11,569x = 629,006,400
5. Step 5: Solve for x
   x = 629,006,400/11,569
6. Step 6: Final answer
   x = 54,369.99