Finding the Third Proportional to 2,182 and 3,544.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,182 : 3,544.50 = 3,544.50 : x
2. Step 2: Convert to fraction form
   2,182/3,544.50 = 3,544.50/x
3. Step 3: Cross multiply
   2,182x = 3,544.50 × 3,544.50
4. Step 4: Simplify right side
   2,182x = 12,563,480.25
5. Step 5: Solve for x
   x = 12,563,480.25/2,182
6. Step 6: Final answer
   x = 5,757.78