Finding the Third Proportional to 2,544 and 3,850

Step by Step Solution

1. Step 1: Write the proportion equation
   2,544 : 3,850 = 3,850 : x
2. Step 2: Convert to fraction form
   2,544/3,850 = 3,850/x
3. Step 3: Cross multiply
   2,544x = 3,850 × 3,850
4. Step 4: Simplify right side
   2,544x = 14,822,500
5. Step 5: Solve for x
   x = 14,822,500/2,544
6. Step 6: Final answer
   x = 5,826.45