Finding the Third Proportional to 3,002.50 and 4,007.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,002.50 : 4,007.75 = 4,007.75 : x
2. Step 2: Convert to fraction form
   3,002.50/4,007.75 = 4,007.75/x
3. Step 3: Cross multiply
   3,002.50x = 4,007.75 × 4,007.75
4. Step 4: Simplify right side
   3,002.50x = 16,062,060.06
5. Step 5: Solve for x
   x = 16,062,060.06/3,002.50
6. Step 6: Final answer
   x = 5,349.56