Finding the Third Proportional to 11,405 and 24,514

Step by Step Solution

1. Step 1: Write the proportion equation
   11,405 : 24,514 = 24,514 : x
2. Step 2: Convert to fraction form
   11,405/24,514 = 24,514/x
3. Step 3: Cross multiply
   11,405x = 24,514 × 24,514
4. Step 4: Simplify right side
   11,405x = 600,936,196
5. Step 5: Solve for x
   x = 600,936,196/11,405
6. Step 6: Final answer
   x = 52,690.59