Finding the Third Proportional to 10,524 and 14,514

Step by Step Solution

1. Step 1: Write the proportion equation
   10,524 : 14,514 = 14,514 : x
2. Step 2: Convert to fraction form
   10,524/14,514 = 14,514/x
3. Step 3: Cross multiply
   10,524x = 14,514 × 14,514
4. Step 4: Simplify right side
   10,524x = 210,656,196
5. Step 5: Solve for x
   x = 210,656,196/10,524
6. Step 6: Final answer
   x = 20,016.74