Finding the Third Proportional to 12,466 and 27,380

Step by Step Solution

1. Step 1: Write the proportion equation
   12,466 : 27,380 = 27,380 : x
2. Step 2: Convert to fraction form
   12,466/27,380 = 27,380/x
3. Step 3: Cross multiply
   12,466x = 27,380 × 27,380
4. Step 4: Simplify right side
   12,466x = 749,664,400
5. Step 5: Solve for x
   x = 749,664,400/12,466
6. Step 6: Final answer
   x = 60,136.72