Finding the Third Proportional to 3,659.25 and 5,676.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,659.25 : 5,676.38 = 5,676.38 : x
2. Step 2: Convert to fraction form
   3,659.25/5,676.38 = 5,676.38/x
3. Step 3: Cross multiply
   3,659.25x = 5,676.38 × 5,676.38
4. Step 4: Simplify right side
   3,659.25x = 32,221,233.14
5. Step 5: Solve for x
   x = 32,221,233.14/3,659.25
6. Step 6: Final answer
   x = 8,805.42