Finding the Third Proportional to 3,864.38 and 5,211.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,864.38 : 5,211.56 = 5,211.56 : x
2. Step 2: Convert to fraction form
   3,864.38/5,211.56 = 5,211.56/x
3. Step 3: Cross multiply
   3,864.38x = 5,211.56 × 5,211.56
4. Step 4: Simplify right side
   3,864.38x = 27,160,383.69
5. Step 5: Solve for x
   x = 27,160,383.69/3,864.38
6. Step 6: Final answer
   x = 7,028.40