Finding the Third Proportional to 2,925.75 and 4,578.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,925.75 : 4,578.38 = 4,578.38 : x
2. Step 2: Convert to fraction form
   2,925.75/4,578.38 = 4,578.38/x
3. Step 3: Cross multiply
   2,925.75x = 4,578.38 × 4,578.38
4. Step 4: Simplify right side
   2,925.75x = 20,961,517.64
5. Step 5: Solve for x
   x = 20,961,517.64/2,925.75
6. Step 6: Final answer
   x = 7,164.49