Finding the Third Proportional to 2,667.94 and 4,185.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,667.94 : 4,185.42 = 4,185.42 : x
2. Step 2: Convert to fraction form
   2,667.94/4,185.42 = 4,185.42/x
3. Step 3: Cross multiply
   2,667.94x = 4,185.42 × 4,185.42
4. Step 4: Simplify right side
   2,667.94x = 17,517,756.27
5. Step 5: Solve for x
   x = 17,517,756.27/2,667.94
6. Step 6: Final answer
   x = 6,566.03