Finding the Third Proportional to 10,666 and 12,466

Step by Step Solution

1. Step 1: Write the proportion equation
   10,666 : 12,466 = 12,466 : x
2. Step 2: Convert to fraction form
   10,666/12,466 = 12,466/x
3. Step 3: Cross multiply
   10,666x = 12,466 × 12,466
4. Step 4: Simplify right side
   10,666x = 155,401,156
5. Step 5: Solve for x
   x = 155,401,156/10,666
6. Step 6: Final answer
   x = 14,569.77