Finding the Third Proportional to 739.50 and 1,149.38

Step by Step Solution

1. Step 1: Write the proportion equation
   739.50 : 1,149.38 = 1,149.38 : x
2. Step 2: Convert to fraction form
   739.50/1,149.38 = 1,149.38/x
3. Step 3: Cross multiply
   739.50x = 1,149.38 × 1,149.38
4. Step 4: Simplify right side
   739.50x = 1,321,062.89
5. Step 5: Solve for x
   x = 1,321,062.89/739.50
6. Step 6: Final answer
   x = 1,786.43