Finding the Third Proportional to 2,377.25 and 3,552.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.25 : 3,552.75 = 3,552.75 : x
2. Step 2: Convert to fraction form
   2,377.25/3,552.75 = 3,552.75/x
3. Step 3: Cross multiply
   2,377.25x = 3,552.75 × 3,552.75
4. Step 4: Simplify right side
   2,377.25x = 12,622,032.56
5. Step 5: Solve for x
   x = 12,622,032.56/2,377.25
6. Step 6: Final answer
   x = 5,309.51