Finding the Third Proportional to 661.50 and 1,240.31

Step by Step Solution

1. Step 1: Write the proportion equation
   661.50 : 1,240.31 = 1,240.31 : x
2. Step 2: Convert to fraction form
   661.50/1,240.31 = 1,240.31/x
3. Step 3: Cross multiply
   661.50x = 1,240.31 × 1,240.31
4. Step 4: Simplify right side
   661.50x = 1,538,375.10
5. Step 5: Solve for x
   x = 1,538,375.10/661.50
6. Step 6: Final answer
   x = 2,325.59