Finding the Third Proportional to 3,878.25 and 5,550.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,878.25 : 5,550.75 = 5,550.75 : x
2. Step 2: Convert to fraction form
   3,878.25/5,550.75 = 5,550.75/x
3. Step 3: Cross multiply
   3,878.25x = 5,550.75 × 5,550.75
4. Step 4: Simplify right side
   3,878.25x = 30,810,825.56
5. Step 5: Solve for x
   x = 30,810,825.56/3,878.25
6. Step 6: Final answer
   x = 7,944.52