Finding the Third Proportional to 11,386 and 12,466

Step by Step Solution

1. Step 1: Write the proportion equation
   11,386 : 12,466 = 12,466 : x
2. Step 2: Convert to fraction form
   11,386/12,466 = 12,466/x
3. Step 3: Cross multiply
   11,386x = 12,466 × 12,466
4. Step 4: Simplify right side
   11,386x = 155,401,156
5. Step 5: Solve for x
   x = 155,401,156/11,386
6. Step 6: Final answer
   x = 13,648.44