Finding the Third Proportional to 2,474 and 3,836

Step by Step Solution

1. Step 1: Write the proportion equation
   2,474 : 3,836 = 3,836 : x
2. Step 2: Convert to fraction form
   2,474/3,836 = 3,836/x
3. Step 3: Cross multiply
   2,474x = 3,836 × 3,836
4. Step 4: Simplify right side
   2,474x = 14,714,896
5. Step 5: Solve for x
   x = 14,714,896/2,474
6. Step 6: Final answer
   x = 5,947.82