Finding the Third Proportional to 2,533 and 5,167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533 : 5,167.50 = 5,167.50 : x
2. Step 2: Convert to fraction form
   2,533/5,167.50 = 5,167.50/x
3. Step 3: Cross multiply
   2,533x = 5,167.50 × 5,167.50
4. Step 4: Simplify right side
   2,533x = 26,703,056.25
5. Step 5: Solve for x
   x = 26,703,056.25/2,533
6. Step 6: Final answer
   x = 10,542.07