Finding the Third Proportional to 2,296.69 and 3,694.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,296.69 : 3,694.78 = 3,694.78 : x
2. Step 2: Convert to fraction form
   2,296.69/3,694.78 = 3,694.78/x
3. Step 3: Cross multiply
   2,296.69x = 3,694.78 × 3,694.78
4. Step 4: Simplify right side
   2,296.69x = 13,651,408.49
5. Step 5: Solve for x
   x = 13,651,408.49/2,296.69
6. Step 6: Final answer
   x = 5,943.96