Finding the Third Proportional to 8,399 and 12,766

Step by Step Solution

1. Step 1: Write the proportion equation
   8,399 : 12,766 = 12,766 : x
2. Step 2: Convert to fraction form
   8,399/12,766 = 12,766/x
3. Step 3: Cross multiply
   8,399x = 12,766 × 12,766
4. Step 4: Simplify right side
   8,399x = 162,970,756
5. Step 5: Solve for x
   x = 162,970,756/8,399
6. Step 6: Final answer
   x = 19,403.59