Finding the Third Proportional to 2,434 and 5,041

Step by Step Solution

1. Step 1: Write the proportion equation
   2,434 : 5,041 = 5,041 : x
2. Step 2: Convert to fraction form
   2,434/5,041 = 5,041/x
3. Step 3: Cross multiply
   2,434x = 5,041 × 5,041
4. Step 4: Simplify right side
   2,434x = 25,411,681
5. Step 5: Solve for x
   x = 25,411,681/2,434
6. Step 6: Final answer
   x = 10,440.30