Finding the Third Proportional to 2,165 and 3,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165 : 3,266.50 = 3,266.50 : x
2. Step 2: Convert to fraction form
   2,165/3,266.50 = 3,266.50/x
3. Step 3: Cross multiply
   2,165x = 3,266.50 × 3,266.50
4. Step 4: Simplify right side
   2,165x = 10,670,022.25
5. Step 5: Solve for x
   x = 10,670,022.25/2,165
6. Step 6: Final answer
   x = 4,928.42