Finding the Third Proportional to 8,096 and 12,936

Step by Step Solution

1. Step 1: Write the proportion equation
   8,096 : 12,936 = 12,936 : x
2. Step 2: Convert to fraction form
   8,096/12,936 = 12,936/x
3. Step 3: Cross multiply
   8,096x = 12,936 × 12,936
4. Step 4: Simplify right side
   8,096x = 167,340,096
5. Step 5: Solve for x
   x = 167,340,096/8,096
6. Step 6: Final answer
   x = 20,669.48