Finding the Third Proportional to 11,514 and 24,662

Step by Step Solution

1. Step 1: Write the proportion equation
   11,514 : 24,662 = 24,662 : x
2. Step 2: Convert to fraction form
   11,514/24,662 = 24,662/x
3. Step 3: Cross multiply
   11,514x = 24,662 × 24,662
4. Step 4: Simplify right side
   11,514x = 608,214,244
5. Step 5: Solve for x
   x = 608,214,244/11,514
6. Step 6: Final answer
   x = 52,823.89