Finding the Third Proportional to 3,298.75 and 7,002.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,298.75 : 7,002.38 = 7,002.38 : x
2. Step 2: Convert to fraction form
   3,298.75/7,002.38 = 7,002.38/x
3. Step 3: Cross multiply
   3,298.75x = 7,002.38 × 7,002.38
4. Step 4: Simplify right side
   3,298.75x = 49,033,255.64
5. Step 5: Solve for x
   x = 49,033,255.64/3,298.75
6. Step 6: Final answer
   x = 14,864.19