Finding the Third Proportional to 2,296.69 and 3,635.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,296.69 : 3,635.72 = 3,635.72 : x
2. Step 2: Convert to fraction form
   2,296.69/3,635.72 = 3,635.72/x
3. Step 3: Cross multiply
   2,296.69x = 3,635.72 × 3,635.72
4. Step 4: Simplify right side
   2,296.69x = 13,218,450.83
5. Step 5: Solve for x
   x = 13,218,450.83/2,296.69
6. Step 6: Final answer
   x = 5,755.44