Finding the Third Proportional to 10,514 and 22,578

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514 : 22,578 = 22,578 : x
2. Step 2: Convert to fraction form
   10,514/22,578 = 22,578/x
3. Step 3: Cross multiply
   10,514x = 22,578 × 22,578
4. Step 4: Simplify right side
   10,514x = 509,766,084
5. Step 5: Solve for x
   x = 509,766,084/10,514
6. Step 6: Final answer
   x = 48,484.50