Finding the Third Proportional to 799.88 and 1,744.73

Step by Step Solution

1. Step 1: Write the proportion equation
   799.88 : 1,744.73 = 1,744.73 : x
2. Step 2: Convert to fraction form
   799.88/1,744.73 = 1,744.73/x
3. Step 3: Cross multiply
   799.88x = 1,744.73 × 1,744.73
4. Step 4: Simplify right side
   799.88x = 3,044,098.04
5. Step 5: Solve for x
   x = 3,044,098.04/799.88
6. Step 6: Final answer
   x = 3,805.72