Finding the Third Proportional to 2,496 and 3,842

Step by Step Solution

1. Step 1: Write the proportion equation
   2,496 : 3,842 = 3,842 : x
2. Step 2: Convert to fraction form
   2,496/3,842 = 3,842/x
3. Step 3: Cross multiply
   2,496x = 3,842 × 3,842
4. Step 4: Simplify right side
   2,496x = 14,760,964
5. Step 5: Solve for x
   x = 14,760,964/2,496
6. Step 6: Final answer
   x = 5,913.85