Finding the Third Proportional to 801.35 and 1,760.27

Step by Step Solution

1. Step 1: Write the proportion equation
   801.35 : 1,760.27 = 1,760.27 : x
2. Step 2: Convert to fraction form
   801.35/1,760.27 = 1,760.27/x
3. Step 3: Cross multiply
   801.35x = 1,760.27 × 1,760.27
4. Step 4: Simplify right side
   801.35x = 3,098,562.57
5. Step 5: Solve for x
   x = 3,098,562.57/801.35
6. Step 6: Final answer
   x = 3,866.67