Finding the Third Proportional to 11,810 and 25,564

Step by Step Solution

1. Step 1: Write the proportion equation
   11,810 : 25,564 = 25,564 : x
2. Step 2: Convert to fraction form
   11,810/25,564 = 25,564/x
3. Step 3: Cross multiply
   11,810x = 25,564 × 25,564
4. Step 4: Simplify right side
   11,810x = 653,518,096
5. Step 5: Solve for x
   x = 653,518,096/11,810
6. Step 6: Final answer
   x = 55,335.99