Finding the Third Proportional to 2,724.47 and 4,321.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,724.47 : 4,321.27 = 4,321.27 : x
2. Step 2: Convert to fraction form
   2,724.47/4,321.27 = 4,321.27/x
3. Step 3: Cross multiply
   2,724.47x = 4,321.27 × 4,321.27
4. Step 4: Simplify right side
   2,724.47x = 18,673,336.60
5. Step 5: Solve for x
   x = 18,673,336.60/2,724.47
6. Step 6: Final answer
   x = 6,853.94