Finding the Third Proportional to 9,584 and 11,096

Step by Step Solution

1. Step 1: Write the proportion equation
   9,584 : 11,096 = 11,096 : x
2. Step 2: Convert to fraction form
   9,584/11,096 = 11,096/x
3. Step 3: Cross multiply
   9,584x = 11,096 × 11,096
4. Step 4: Simplify right side
   9,584x = 123,121,216
5. Step 5: Solve for x
   x = 123,121,216/9,584
6. Step 6: Final answer
   x = 12,846.54