Finding the Third Proportional to 3,836.81 and 5,499.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,836.81 : 5,499.56 = 5,499.56 : x
2. Step 2: Convert to fraction form
   3,836.81/5,499.56 = 5,499.56/x
3. Step 3: Cross multiply
   3,836.81x = 5,499.56 × 5,499.56
4. Step 4: Simplify right side
   3,836.81x = 30,245,187.69
5. Step 5: Solve for x
   x = 30,245,187.69/3,836.81
6. Step 6: Final answer
   x = 7,882.89