Finding the Third Proportional to 2,504.25 and 3,578.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,504.25 : 3,578.77 = 3,578.77 : x
2. Step 2: Convert to fraction form
   2,504.25/3,578.77 = 3,578.77/x
3. Step 3: Cross multiply
   2,504.25x = 3,578.77 × 3,578.77
4. Step 4: Simplify right side
   2,504.25x = 12,807,563.40
5. Step 5: Solve for x
   x = 12,807,563.40/2,504.25
6. Step 6: Final answer
   x = 5,114.33