Finding the Third Proportional to 765.50 and 1,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   765.50 : 1,661.50 = 1,661.50 : x
2. Step 2: Convert to fraction form
   765.50/1,661.50 = 1,661.50/x
3. Step 3: Cross multiply
   765.50x = 1,661.50 × 1,661.50
4. Step 4: Simplify right side
   765.50x = 2,760,582.25
5. Step 5: Solve for x
   x = 2,760,582.25/765.50
6. Step 6: Final answer
   x = 3,606.25