Finding the Third Proportional to 1,747.41 and 3,231.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,747.41 : 3,231.56 = 3,231.56 : x
2. Step 2: Convert to fraction form
   1,747.41/3,231.56 = 3,231.56/x
3. Step 3: Cross multiply
   1,747.41x = 3,231.56 × 3,231.56
4. Step 4: Simplify right side
   1,747.41x = 10,442,996.19
5. Step 5: Solve for x
   x = 10,442,996.19/1,747.41
6. Step 6: Final answer
   x = 5,976.28