Finding the Third Proportional to 11,569 and 25,082

Step by Step Solution

1. Step 1: Write the proportion equation
   11,569 : 25,082 = 25,082 : x
2. Step 2: Convert to fraction form
   11,569/25,082 = 25,082/x
3. Step 3: Cross multiply
   11,569x = 25,082 × 25,082
4. Step 4: Simplify right side
   11,569x = 629,106,724
5. Step 5: Solve for x
   x = 629,106,724/11,569
6. Step 6: Final answer
   x = 54,378.66