Finding the Third Proportional to 2,894.06 and 4,096.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,894.06 : 4,096.41 = 4,096.41 : x
2. Step 2: Convert to fraction form
   2,894.06/4,096.41 = 4,096.41/x
3. Step 3: Cross multiply
   2,894.06x = 4,096.41 × 4,096.41
4. Step 4: Simplify right side
   2,894.06x = 16,780,544.17
5. Step 5: Solve for x
   x = 16,780,544.17/2,894.06
6. Step 6: Final answer
   x = 5,798.27