Finding the Third Proportional to 13,096 and 30,676

Step by Step Solution

1. Step 1: Write the proportion equation
   13,096 : 30,676 = 30,676 : x
2. Step 2: Convert to fraction form
   13,096/30,676 = 30,676/x
3. Step 3: Cross multiply
   13,096x = 30,676 × 30,676
4. Step 4: Simplify right side
   13,096x = 941,016,976
5. Step 5: Solve for x
   x = 941,016,976/13,096
6. Step 6: Final answer
   x = 71,855.30