Finding the Third Proportional to 13,096 and 16,996

Step by Step Solution

1. Step 1: Write the proportion equation
   13,096 : 16,996 = 16,996 : x
2. Step 2: Convert to fraction form
   13,096/16,996 = 16,996/x
3. Step 3: Cross multiply
   13,096x = 16,996 × 16,996
4. Step 4: Simplify right side
   13,096x = 288,864,016
5. Step 5: Solve for x
   x = 288,864,016/13,096
6. Step 6: Final answer
   x = 22,057.42