Finding the Third Proportional to 2,165 and 2,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165 : 2,367.50 = 2,367.50 : x
2. Step 2: Convert to fraction form
   2,165/2,367.50 = 2,367.50/x
3. Step 3: Cross multiply
   2,165x = 2,367.50 × 2,367.50
4. Step 4: Simplify right side
   2,165x = 5,605,056.25
5. Step 5: Solve for x
   x = 5,605,056.25/2,165
6. Step 6: Final answer
   x = 2,588.94