Finding the Third Proportional to 2,664.84 and 4,171.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,664.84 : 4,171.22 = 4,171.22 : x
2. Step 2: Convert to fraction form
   2,664.84/4,171.22 = 4,171.22/x
3. Step 3: Cross multiply
   2,664.84x = 4,171.22 × 4,171.22
4. Step 4: Simplify right side
   2,664.84x = 17,399,065.86
5. Step 5: Solve for x
   x = 17,399,065.86/2,664.84
6. Step 6: Final answer
   x = 6,529.11