Finding the Third Proportional to 10,884 and 17,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,884 : 17,257.50 = 17,257.50 : x
2. Step 2: Convert to fraction form
   10,884/17,257.50 = 17,257.50/x
3. Step 3: Cross multiply
   10,884x = 17,257.50 × 17,257.50
4. Step 4: Simplify right side
   10,884x = 297,821,306.25
5. Step 5: Solve for x
   x = 297,821,306.25/10,884
6. Step 6: Final answer
   x = 27,363.22