Finding the Third Proportional to 2,831 and 3,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,831 : 3,823.50 = 3,823.50 : x
2. Step 2: Convert to fraction form
   2,831/3,823.50 = 3,823.50/x
3. Step 3: Cross multiply
   2,831x = 3,823.50 × 3,823.50
4. Step 4: Simplify right side
   2,831x = 14,619,152.25
5. Step 5: Solve for x
   x = 14,619,152.25/2,831
6. Step 6: Final answer
   x = 5,163.95