Finding the Third Proportional to 5,684 and 12,466

Step by Step Solution

1. Step 1: Write the proportion equation
   5,684 : 12,466 = 12,466 : x
2. Step 2: Convert to fraction form
   5,684/12,466 = 12,466/x
3. Step 3: Cross multiply
   5,684x = 12,466 × 12,466
4. Step 4: Simplify right side
   5,684x = 155,401,156
5. Step 5: Solve for x
   x = 155,401,156/5,684
6. Step 6: Final answer
   x = 27,340.10