Finding the Third Proportional to 3,165.75 and 4,269.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,165.75 : 4,269.38 = 4,269.38 : x
2. Step 2: Convert to fraction form
   3,165.75/4,269.38 = 4,269.38/x
3. Step 3: Cross multiply
   3,165.75x = 4,269.38 × 4,269.38
4. Step 4: Simplify right side
   3,165.75x = 18,227,562.89
5. Step 5: Solve for x
   x = 18,227,562.89/3,165.75
6. Step 6: Final answer
   x = 5,757.74