Finding the Third Proportional to 3,382 and 3,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,382 : 3,989.50 = 3,989.50 : x
2. Step 2: Convert to fraction form
   3,382/3,989.50 = 3,989.50/x
3. Step 3: Cross multiply
   3,382x = 3,989.50 × 3,989.50
4. Step 4: Simplify right side
   3,382x = 15,916,110.25
5. Step 5: Solve for x
   x = 15,916,110.25/3,382
6. Step 6: Final answer
   x = 4,706.12