Finding the Third Proportional to 10,412 and 18,514

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412 : 18,514 = 18,514 : x
2. Step 2: Convert to fraction form
   10,412/18,514 = 18,514/x
3. Step 3: Cross multiply
   10,412x = 18,514 × 18,514
4. Step 4: Simplify right side
   10,412x = 342,768,196
5. Step 5: Solve for x
   x = 342,768,196/10,412
6. Step 6: Final answer
   x = 32,920.50