Finding the Third Proportional to 2,240 and 3,231.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,240 : 3,231.50 = 3,231.50 : x
2. Step 2: Convert to fraction form
   2,240/3,231.50 = 3,231.50/x
3. Step 3: Cross multiply
   2,240x = 3,231.50 × 3,231.50
4. Step 4: Simplify right side
   2,240x = 10,442,592.25
5. Step 5: Solve for x
   x = 10,442,592.25/2,240
6. Step 6: Final answer
   x = 4,661.87