Finding the Third Proportional to 2,786.06 and 4,096.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,786.06 : 4,096.20 = 4,096.20 : x
2. Step 2: Convert to fraction form
   2,786.06/4,096.20 = 4,096.20/x
3. Step 3: Cross multiply
   2,786.06x = 4,096.20 × 4,096.20
4. Step 4: Simplify right side
   2,786.06x = 16,778,816.04
5. Step 5: Solve for x
   x = 16,778,816.04/2,786.06
6. Step 6: Final answer
   x = 6,022.41