Finding the Third Proportional to 2,297.11 and 3,639.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,297.11 : 3,639.30 = 3,639.30 : x
2. Step 2: Convert to fraction form
   2,297.11/3,639.30 = 3,639.30/x
3. Step 3: Cross multiply
   2,297.11x = 3,639.30 × 3,639.30
4. Step 4: Simplify right side
   2,297.11x = 13,244,538.61
5. Step 5: Solve for x
   x = 13,244,538.61/2,297.11
6. Step 6: Final answer
   x = 5,765.74