Finding the Third Proportional to 796.88 and 1,171.88

Step by Step Solution

1. Step 1: Write the proportion equation
   796.88 : 1,171.88 = 1,171.88 : x
2. Step 2: Convert to fraction form
   796.88/1,171.88 = 1,171.88/x
3. Step 3: Cross multiply
   796.88x = 1,171.88 × 1,171.88
4. Step 4: Simplify right side
   796.88x = 1,373,291.02
5. Step 5: Solve for x
   x = 1,373,291.02/796.88
6. Step 6: Final answer
   x = 1,723.35