Finding the Third Proportional to 2,296.69 and 4,107.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,296.69 : 4,107.38 = 4,107.38 : x
2. Step 2: Convert to fraction form
   2,296.69/4,107.38 = 4,107.38/x
3. Step 3: Cross multiply
   2,296.69x = 4,107.38 × 4,107.38
4. Step 4: Simplify right side
   2,296.69x = 16,870,529.39
5. Step 5: Solve for x
   x = 16,870,529.39/2,296.69
6. Step 6: Final answer
   x = 7,345.59