Finding the Third Proportional to 8,221.50 and 17,757.56

Step by Step Solution

1. Step 1: Write the proportion equation
   8,221.50 : 17,757.56 = 17,757.56 : x
2. Step 2: Convert to fraction form
   8,221.50/17,757.56 = 17,757.56/x
3. Step 3: Cross multiply
   8,221.50x = 17,757.56 × 17,757.56
4. Step 4: Simplify right side
   8,221.50x = 315,331,025.94
5. Step 5: Solve for x
   x = 315,331,025.94/8,221.50
6. Step 6: Final answer
   x = 38,354.44