Finding the Third Proportional to 2,168 and 2,370.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,168 : 2,370.50 = 2,370.50 : x
2. Step 2: Convert to fraction form
   2,168/2,370.50 = 2,370.50/x
3. Step 3: Cross multiply
   2,168x = 2,370.50 × 2,370.50
4. Step 4: Simplify right side
   2,168x = 5,619,270.25
5. Step 5: Solve for x
   x = 5,619,270.25/2,168
6. Step 6: Final answer
   x = 2,591.91