Finding the Third Proportional to 789.12 and 1,168.38

Step by Step Solution

1. Step 1: Write the proportion equation
   789.12 : 1,168.38 = 1,168.38 : x
2. Step 2: Convert to fraction form
   789.12/1,168.38 = 1,168.38/x
3. Step 3: Cross multiply
   789.12x = 1,168.38 × 1,168.38
4. Step 4: Simplify right side
   789.12x = 1,365,118.40
5. Step 5: Solve for x
   x = 1,365,118.40/789.12
6. Step 6: Final answer
   x = 1,729.93