Finding the Third Proportional to 8,222.50 and 17,741

Step by Step Solution

1. Step 1: Write the proportion equation
   8,222.50 : 17,741 = 17,741 : x
2. Step 2: Convert to fraction form
   8,222.50/17,741 = 17,741/x
3. Step 3: Cross multiply
   8,222.50x = 17,741 × 17,741
4. Step 4: Simplify right side
   8,222.50x = 314,743,081
5. Step 5: Solve for x
   x = 314,743,081/8,222.50
6. Step 6: Final answer
   x = 38,278.27