Finding the Third Proportional to 11,569 and 25,227

Step by Step Solution

1. Step 1: Write the proportion equation
   11,569 : 25,227 = 25,227 : x
2. Step 2: Convert to fraction form
   11,569/25,227 = 25,227/x
3. Step 3: Cross multiply
   11,569x = 25,227 × 25,227
4. Step 4: Simplify right side
   11,569x = 636,401,529
5. Step 5: Solve for x
   x = 636,401,529/11,569
6. Step 6: Final answer
   x = 55,009.21