Finding the Third Proportional to 3,826.41 and 5,912.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826.41 : 5,912.72 = 5,912.72 : x
2. Step 2: Convert to fraction form
   3,826.41/5,912.72 = 5,912.72/x
3. Step 3: Cross multiply
   3,826.41x = 5,912.72 × 5,912.72
4. Step 4: Simplify right side
   3,826.41x = 34,960,243.02
5. Step 5: Solve for x
   x = 34,960,243.02/3,826.41
6. Step 6: Final answer
   x = 9,136.57