Finding the Third Proportional to 8,514 and 12,951

Step by Step Solution

1. Step 1: Write the proportion equation
   8,514 : 12,951 = 12,951 : x
2. Step 2: Convert to fraction form
   8,514/12,951 = 12,951/x
3. Step 3: Cross multiply
   8,514x = 12,951 × 12,951
4. Step 4: Simplify right side
   8,514x = 167,728,401
5. Step 5: Solve for x
   x = 167,728,401/8,514
6. Step 6: Final answer
   x = 19,700.31