Finding the Third Proportional to 3,828.94 and 5,671.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828.94 : 5,671.69 = 5,671.69 : x
2. Step 2: Convert to fraction form
   3,828.94/5,671.69 = 5,671.69/x
3. Step 3: Cross multiply
   3,828.94x = 5,671.69 × 5,671.69
4. Step 4: Simplify right side
   3,828.94x = 32,168,039.10
5. Step 5: Solve for x
   x = 32,168,039.10/3,828.94
6. Step 6: Final answer
   x = 8,401.30