Finding the Third Proportional to 11,404 and 24,564

Step by Step Solution

1. Step 1: Write the proportion equation
   11,404 : 24,564 = 24,564 : x
2. Step 2: Convert to fraction form
   11,404/24,564 = 24,564/x
3. Step 3: Cross multiply
   11,404x = 24,564 × 24,564
4. Step 4: Simplify right side
   11,404x = 603,390,096
5. Step 5: Solve for x
   x = 603,390,096/11,404
6. Step 6: Final answer
   x = 52,910.39