Finding the Third Proportional to 2,466 and 5,959

Step by Step Solution

1. Step 1: Write the proportion equation
   2,466 : 5,959 = 5,959 : x
2. Step 2: Convert to fraction form
   2,466/5,959 = 5,959/x
3. Step 3: Cross multiply
   2,466x = 5,959 × 5,959
4. Step 4: Simplify right side
   2,466x = 35,509,681
5. Step 5: Solve for x
   x = 35,509,681/2,466
6. Step 6: Final answer
   x = 14,399.71