Finding the Third Proportional to 3,589.59 and 5,259.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,589.59 : 5,259.38 = 5,259.38 : x
2. Step 2: Convert to fraction form
   3,589.59/5,259.38 = 5,259.38/x
3. Step 3: Cross multiply
   3,589.59x = 5,259.38 × 5,259.38
4. Step 4: Simplify right side
   3,589.59x = 27,661,025.39
5. Step 5: Solve for x
   x = 27,661,025.39/3,589.59
6. Step 6: Final answer
   x = 7,705.89