Finding the Third Proportional to 743.25 and 1,589.38

Step by Step Solution

1. Step 1: Write the proportion equation
   743.25 : 1,589.38 = 1,589.38 : x
2. Step 2: Convert to fraction form
   743.25/1,589.38 = 1,589.38/x
3. Step 3: Cross multiply
   743.25x = 1,589.38 × 1,589.38
4. Step 4: Simplify right side
   743.25x = 2,526,112.89
5. Step 5: Solve for x
   x = 2,526,112.89/743.25
6. Step 6: Final answer
   x = 3,398.74