Finding the Third Proportional to 8,509 and 12,466

Step by Step Solution

1. Step 1: Write the proportion equation
   8,509 : 12,466 = 12,466 : x
2. Step 2: Convert to fraction form
   8,509/12,466 = 12,466/x
3. Step 3: Cross multiply
   8,509x = 12,466 × 12,466
4. Step 4: Simplify right side
   8,509x = 155,401,156
5. Step 5: Solve for x
   x = 155,401,156/8,509
6. Step 6: Final answer
   x = 18,263.15