Finding the Third Proportional to 2,770.50 and 3,966

Step by Step Solution

1. Step 1: Write the proportion equation
   2,770.50 : 3,966 = 3,966 : x
2. Step 2: Convert to fraction form
   2,770.50/3,966 = 3,966/x
3. Step 3: Cross multiply
   2,770.50x = 3,966 × 3,966
4. Step 4: Simplify right side
   2,770.50x = 15,729,156
5. Step 5: Solve for x
   x = 15,729,156/2,770.50
6. Step 6: Final answer
   x = 5,677.37