Finding the Third Proportional to 371.67 and 802.83

Step by Step Solution

1. Step 1: Write the proportion equation
   371.67 : 802.83 = 802.83 : x
2. Step 2: Convert to fraction form
   371.67/802.83 = 802.83/x
3. Step 3: Cross multiply
   371.67x = 802.83 × 802.83
4. Step 4: Simplify right side
   371.67x = 644,533.00
5. Step 5: Solve for x
   x = 644,533.00/371.67
6. Step 6: Final answer
   x = 1,734.15