Finding the Third Proportional to 2,404.69 and 3,682.97

Step by Step Solution

1. Step 1: Write the proportion equation
   2,404.69 : 3,682.97 = 3,682.97 : x
2. Step 2: Convert to fraction form
   2,404.69/3,682.97 = 3,682.97/x
3. Step 3: Cross multiply
   2,404.69x = 3,682.97 × 3,682.97
4. Step 4: Simplify right side
   2,404.69x = 13,564,258.81
5. Step 5: Solve for x
   x = 13,564,258.81/2,404.69
6. Step 6: Final answer
   x = 5,640.76