Finding the Third Proportional to 2,281.50 and 5,379.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,281.50 : 5,379.75 = 5,379.75 : x
2. Step 2: Convert to fraction form
   2,281.50/5,379.75 = 5,379.75/x
3. Step 3: Cross multiply
   2,281.50x = 5,379.75 × 5,379.75
4. Step 4: Simplify right side
   2,281.50x = 28,941,710.06
5. Step 5: Solve for x
   x = 28,941,710.06/2,281.50
6. Step 6: Final answer
   x = 12,685.39