Finding the Third Proportional to 8,022 and 12,849

Step by Step Solution

1. Step 1: Write the proportion equation
   8,022 : 12,849 = 12,849 : x
2. Step 2: Convert to fraction form
   8,022/12,849 = 12,849/x
3. Step 3: Cross multiply
   8,022x = 12,849 × 12,849
4. Step 4: Simplify right side
   8,022x = 165,096,801
5. Step 5: Solve for x
   x = 165,096,801/8,022
6. Step 6: Final answer
   x = 20,580.50