Finding the Third Proportional to 2,377.69 and 3,266.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.69 : 3,266.16 = 3,266.16 : x
2. Step 2: Convert to fraction form
   2,377.69/3,266.16 = 3,266.16/x
3. Step 3: Cross multiply
   2,377.69x = 3,266.16 × 3,266.16
4. Step 4: Simplify right side
   2,377.69x = 10,667,776.65
5. Step 5: Solve for x
   x = 10,667,776.65/2,377.69
6. Step 6: Final answer
   x = 4,486.62