Finding the Third Proportional to 3,659.25 and 8,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,659.25 : 8,002.50 = 8,002.50 : x
2. Step 2: Convert to fraction form
   3,659.25/8,002.50 = 8,002.50/x
3. Step 3: Cross multiply
   3,659.25x = 8,002.50 × 8,002.50
4. Step 4: Simplify right side
   3,659.25x = 64,040,006.25
5. Step 5: Solve for x
   x = 64,040,006.25/3,659.25
6. Step 6: Final answer
   x = 17,500.86