Finding the Third Proportional to 8,364 and 9,096

Step by Step Solution

1. Step 1: Write the proportion equation
   8,364 : 9,096 = 9,096 : x
2. Step 2: Convert to fraction form
   8,364/9,096 = 9,096/x
3. Step 3: Cross multiply
   8,364x = 9,096 × 9,096
4. Step 4: Simplify right side
   8,364x = 82,737,216
5. Step 5: Solve for x
   x = 82,737,216/8,364
6. Step 6: Final answer
   x = 9,892.06