Finding the Third Proportional to 33,096 and 72,016

Step by Step Solution

1. Step 1: Write the proportion equation
   33,096 : 72,016 = 72,016 : x
2. Step 2: Convert to fraction form
   33,096/72,016 = 72,016/x
3. Step 3: Cross multiply
   33,096x = 72,016 × 72,016
4. Step 4: Simplify right side
   33,096x = 5,186,304,256
5. Step 5: Solve for x
   x = 5,186,304,256/33,096
6. Step 6: Final answer
   x = 156,704.87