Finding the Third Proportional to 8,182 and 12,687

Step by Step Solution

1. Step 1: Write the proportion equation
   8,182 : 12,687 = 12,687 : x
2. Step 2: Convert to fraction form
   8,182/12,687 = 12,687/x
3. Step 3: Cross multiply
   8,182x = 12,687 × 12,687
4. Step 4: Simplify right side
   8,182x = 160,959,969
5. Step 5: Solve for x
   x = 160,959,969/8,182
6. Step 6: Final answer
   x = 19,672.45