Finding the Third Proportional to 2,406.75 and 3,849

Step by Step Solution

1. Step 1: Write the proportion equation
   2,406.75 : 3,849 = 3,849 : x
2. Step 2: Convert to fraction form
   2,406.75/3,849 = 3,849/x
3. Step 3: Cross multiply
   2,406.75x = 3,849 × 3,849
4. Step 4: Simplify right side
   2,406.75x = 14,814,801
5. Step 5: Solve for x
   x = 14,814,801/2,406.75
6. Step 6: Final answer
   x = 6,155.52