Finding the Third Proportional to 8,666 and 12,674

Step by Step Solution

1. Step 1: Write the proportion equation
   8,666 : 12,674 = 12,674 : x
2. Step 2: Convert to fraction form
   8,666/12,674 = 12,674/x
3. Step 3: Cross multiply
   8,666x = 12,674 × 12,674
4. Step 4: Simplify right side
   8,666x = 160,630,276
5. Step 5: Solve for x
   x = 160,630,276/8,666
6. Step 6: Final answer
   x = 18,535.69