Finding the Third Proportional to 8,221.50 and 9,588.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,221.50 : 9,588.38 = 9,588.38 : x
2. Step 2: Convert to fraction form
   8,221.50/9,588.38 = 9,588.38/x
3. Step 3: Cross multiply
   8,221.50x = 9,588.38 × 9,588.38
4. Step 4: Simplify right side
   8,221.50x = 91,936,935.14
5. Step 5: Solve for x
   x = 91,936,935.14/8,221.50
6. Step 6: Final answer
   x = 11,182.50