Finding the Third Proportional to 11,644 and 25,564

Step by Step Solution

1. Step 1: Write the proportion equation
   11,644 : 25,564 = 25,564 : x
2. Step 2: Convert to fraction form
   11,644/25,564 = 25,564/x
3. Step 3: Cross multiply
   11,644x = 25,564 × 25,564
4. Step 4: Simplify right side
   11,644x = 653,518,096
5. Step 5: Solve for x
   x = 653,518,096/11,644
6. Step 6: Final answer
   x = 56,124.88