Finding the Third Proportional to 2,165.50 and 3,165

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.50 : 3,165 = 3,165 : x
2. Step 2: Convert to fraction form
   2,165.50/3,165 = 3,165/x
3. Step 3: Cross multiply
   2,165.50x = 3,165 × 3,165
4. Step 4: Simplify right side
   2,165.50x = 10,017,225
5. Step 5: Solve for x
   x = 10,017,225/2,165.50
6. Step 6: Final answer
   x = 4,625.83