Finding the Third Proportional to 2,533 and 3,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533 : 3,868.50 = 3,868.50 : x
2. Step 2: Convert to fraction form
   2,533/3,868.50 = 3,868.50/x
3. Step 3: Cross multiply
   2,533x = 3,868.50 × 3,868.50
4. Step 4: Simplify right side
   2,533x = 14,965,292.25
5. Step 5: Solve for x
   x = 14,965,292.25/2,533
6. Step 6: Final answer
   x = 5,908.13