Finding the Third Proportional to 30,899 and 72,016

Step by Step Solution

1. Step 1: Write the proportion equation
   30,899 : 72,016 = 72,016 : x
2. Step 2: Convert to fraction form
   30,899/72,016 = 72,016/x
3. Step 3: Cross multiply
   30,899x = 72,016 × 72,016
4. Step 4: Simplify right side
   30,899x = 5,186,304,256
5. Step 5: Solve for x
   x = 5,186,304,256/30,899
6. Step 6: Final answer
   x = 167,846.99