Finding the Third Proportional to 801.50 and 1,726.50

Step by Step Solution

1. Step 1: Write the proportion equation
   801.50 : 1,726.50 = 1,726.50 : x
2. Step 2: Convert to fraction form
   801.50/1,726.50 = 1,726.50/x
3. Step 3: Cross multiply
   801.50x = 1,726.50 × 1,726.50
4. Step 4: Simplify right side
   801.50x = 2,980,802.25
5. Step 5: Solve for x
   x = 2,980,802.25/801.50
6. Step 6: Final answer
   x = 3,719.03