Finding the Third Proportional to 2,414 and 5,026

Step by Step Solution

1. Step 1: Write the proportion equation
   2,414 : 5,026 = 5,026 : x
2. Step 2: Convert to fraction form
   2,414/5,026 = 5,026/x
3. Step 3: Cross multiply
   2,414x = 5,026 × 5,026
4. Step 4: Simplify right side
   2,414x = 25,260,676
5. Step 5: Solve for x
   x = 25,260,676/2,414
6. Step 6: Final answer
   x = 10,464.24