Finding the Third Proportional to 1,509.61 and 2,332.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,509.61 : 2,332.83 = 2,332.83 : x
2. Step 2: Convert to fraction form
   1,509.61/2,332.83 = 2,332.83/x
3. Step 3: Cross multiply
   1,509.61x = 2,332.83 × 2,332.83
4. Step 4: Simplify right side
   1,509.61x = 5,442,087.06
5. Step 5: Solve for x
   x = 5,442,087.06/1,509.61
6. Step 6: Final answer
   x = 3,604.96