Finding the Third Proportional to 3,609 and 5,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,609 : 5,923.50 = 5,923.50 : x
2. Step 2: Convert to fraction form
   3,609/5,923.50 = 5,923.50/x
3. Step 3: Cross multiply
   3,609x = 5,923.50 × 5,923.50
4. Step 4: Simplify right side
   3,609x = 35,087,852.25
5. Step 5: Solve for x
   x = 35,087,852.25/3,609
6. Step 6: Final answer
   x = 9,722.32