Finding the Third Proportional to 2,382 and 3,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,382 : 3,508.50 = 3,508.50 : x
2. Step 2: Convert to fraction form
   2,382/3,508.50 = 3,508.50/x
3. Step 3: Cross multiply
   2,382x = 3,508.50 × 3,508.50
4. Step 4: Simplify right side
   2,382x = 12,309,572.25
5. Step 5: Solve for x
   x = 12,309,572.25/2,382
6. Step 6: Final answer
   x = 5,167.75