Finding the Third Proportional to 3,665.81 and 5,679.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.81 : 5,679.56 = 5,679.56 : x
2. Step 2: Convert to fraction form
   3,665.81/5,679.56 = 5,679.56/x
3. Step 3: Cross multiply
   3,665.81x = 5,679.56 × 5,679.56
4. Step 4: Simplify right side
   3,665.81x = 32,257,430.19
5. Step 5: Solve for x
   x = 32,257,430.19/3,665.81
6. Step 6: Final answer
   x = 8,799.53