Finding the Third Proportional to 1,596.38 and 2,338.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,596.38 : 2,338.59 = 2,338.59 : x
2. Step 2: Convert to fraction form
   1,596.38/2,338.59 = 2,338.59/x
3. Step 3: Cross multiply
   1,596.38x = 2,338.59 × 2,338.59
4. Step 4: Simplify right side
   1,596.38x = 5,469,020.73
5. Step 5: Solve for x
   x = 5,469,020.73/1,596.38
6. Step 6: Final answer
   x = 3,425.90