Finding the Third Proportional to 8,200 and 9,256

Step by Step Solution

1. Step 1: Write the proportion equation
   8,200 : 9,256 = 9,256 : x
2. Step 2: Convert to fraction form
   8,200/9,256 = 9,256/x
3. Step 3: Cross multiply
   8,200x = 9,256 × 9,256
4. Step 4: Simplify right side
   8,200x = 85,673,536
5. Step 5: Solve for x
   x = 85,673,536/8,200
6. Step 6: Final answer
   x = 10,447.99