Finding the Third Proportional to 2,665.41 and 4,266.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.41 : 4,266.42 = 4,266.42 : x
2. Step 2: Convert to fraction form
   2,665.41/4,266.42 = 4,266.42/x
3. Step 3: Cross multiply
   2,665.41x = 4,266.42 × 4,266.42
4. Step 4: Simplify right side
   2,665.41x = 18,202,355.62
5. Step 5: Solve for x
   x = 18,202,355.62/2,665.41
6. Step 6: Final answer
   x = 6,829.11