Finding the Third Proportional to 799.50 and 1,743

Step by Step Solution

1. Step 1: Write the proportion equation
   799.50 : 1,743 = 1,743 : x
2. Step 2: Convert to fraction form
   799.50/1,743 = 1,743/x
3. Step 3: Cross multiply
   799.50x = 1,743 × 1,743
4. Step 4: Simplify right side
   799.50x = 3,038,049
5. Step 5: Solve for x
   x = 3,038,049/799.50
6. Step 6: Final answer
   x = 3,799.94