Finding the Third Proportional to 2,414.81 and 3,627.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,414.81 : 3,627.91 = 3,627.91 : x
2. Step 2: Convert to fraction form
   2,414.81/3,627.91 = 3,627.91/x
3. Step 3: Cross multiply
   2,414.81x = 3,627.91 × 3,627.91
4. Step 4: Simplify right side
   2,414.81x = 13,161,760.44
5. Step 5: Solve for x
   x = 13,161,760.44/2,414.81
6. Step 6: Final answer
   x = 5,450.43