Finding the Third Proportional to 799.69 and 1,271.53

Step by Step Solution

1. Step 1: Write the proportion equation
   799.69 : 1,271.53 = 1,271.53 : x
2. Step 2: Convert to fraction form
   799.69/1,271.53 = 1,271.53/x
3. Step 3: Cross multiply
   799.69x = 1,271.53 × 1,271.53
4. Step 4: Simplify right side
   799.69x = 1,616,791.72
5. Step 5: Solve for x
   x = 1,616,791.72/799.69
6. Step 6: Final answer
   x = 2,021.78