Finding the Third Proportional to 3,003.75 and 4,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,003.75 : 4,414.50 = 4,414.50 : x
2. Step 2: Convert to fraction form
   3,003.75/4,414.50 = 4,414.50/x
3. Step 3: Cross multiply
   3,003.75x = 4,414.50 × 4,414.50
4. Step 4: Simplify right side
   3,003.75x = 19,487,810.25
5. Step 5: Solve for x
   x = 19,487,810.25/3,003.75
6. Step 6: Final answer
   x = 6,487.83