Finding the Third Proportional to 2,466 and 5,362

Step by Step Solution

1. Step 1: Write the proportion equation
   2,466 : 5,362 = 5,362 : x
2. Step 2: Convert to fraction form
   2,466/5,362 = 5,362/x
3. Step 3: Cross multiply
   2,466x = 5,362 × 5,362
4. Step 4: Simplify right side
   2,466x = 28,751,044
5. Step 5: Solve for x
   x = 28,751,044/2,466
6. Step 6: Final answer
   x = 11,658.98