Finding the Third Proportional to 11,564 and 25,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564 : 25,208.50 = 25,208.50 : x
2. Step 2: Convert to fraction form
   11,564/25,208.50 = 25,208.50/x
3. Step 3: Cross multiply
   11,564x = 25,208.50 × 25,208.50
4. Step 4: Simplify right side
   11,564x = 635,468,472.25
5. Step 5: Solve for x
   x = 635,468,472.25/11,564
6. Step 6: Final answer
   x = 54,952.31