Finding the Third Proportional to 9,096 and 13,696

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096 : 13,696 = 13,696 : x
2. Step 2: Convert to fraction form
   9,096/13,696 = 13,696/x
3. Step 3: Cross multiply
   9,096x = 13,696 × 13,696
4. Step 4: Simplify right side
   9,096x = 187,580,416
5. Step 5: Solve for x
   x = 187,580,416/9,096
6. Step 6: Final answer
   x = 20,622.30