Finding the Third Proportional to 3,966 and 5,731.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,966 : 5,731.50 = 5,731.50 : x
2. Step 2: Convert to fraction form
   3,966/5,731.50 = 5,731.50/x
3. Step 3: Cross multiply
   3,966x = 5,731.50 × 5,731.50
4. Step 4: Simplify right side
   3,966x = 32,850,092.25
5. Step 5: Solve for x
   x = 32,850,092.25/3,966
6. Step 6: Final answer
   x = 8,282.93