Finding the Third Proportional to 2,544.25 and 3,810.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,544.25 : 3,810.75 = 3,810.75 : x
2. Step 2: Convert to fraction form
   2,544.25/3,810.75 = 3,810.75/x
3. Step 3: Cross multiply
   2,544.25x = 3,810.75 × 3,810.75
4. Step 4: Simplify right side
   2,544.25x = 14,521,815.56
5. Step 5: Solve for x
   x = 14,521,815.56/2,544.25
6. Step 6: Final answer
   x = 5,707.70