Finding the Third Proportional to 3,188.25 and 4,269.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,188.25 : 4,269.38 = 4,269.38 : x
2. Step 2: Convert to fraction form
   3,188.25/4,269.38 = 4,269.38/x
3. Step 3: Cross multiply
   3,188.25x = 4,269.38 × 4,269.38
4. Step 4: Simplify right side
   3,188.25x = 18,227,562.89
5. Step 5: Solve for x
   x = 18,227,562.89/3,188.25
6. Step 6: Final answer
   x = 5,717.11