Finding the Third Proportional to 823.31 and 1,743.56

Step by Step Solution

1. Step 1: Write the proportion equation
   823.31 : 1,743.56 = 1,743.56 : x
2. Step 2: Convert to fraction form
   823.31/1,743.56 = 1,743.56/x
3. Step 3: Cross multiply
   823.31x = 1,743.56 × 1,743.56
4. Step 4: Simplify right side
   823.31x = 3,040,010.19
5. Step 5: Solve for x
   x = 3,040,010.19/823.31
6. Step 6: Final answer
   x = 3,692.41