Finding the Third Proportional to 8,182 and 12,742

Step by Step Solution

1. Step 1: Write the proportion equation
   8,182 : 12,742 = 12,742 : x
2. Step 2: Convert to fraction form
   8,182/12,742 = 12,742/x
3. Step 3: Cross multiply
   8,182x = 12,742 × 12,742
4. Step 4: Simplify right side
   8,182x = 162,358,564
5. Step 5: Solve for x
   x = 162,358,564/8,182
6. Step 6: Final answer
   x = 19,843.38