Finding the Third Proportional to 2,664.94 and 4,171.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,664.94 : 4,171.31 = 4,171.31 : x
2. Step 2: Convert to fraction form
   2,664.94/4,171.31 = 4,171.31/x
3. Step 3: Cross multiply
   2,664.94x = 4,171.31 × 4,171.31
4. Step 4: Simplify right side
   2,664.94x = 17,399,847.97
5. Step 5: Solve for x
   x = 17,399,847.97/2,664.94
6. Step 6: Final answer
   x = 6,529.18