Finding the Third Proportional to 31,344 and 47,016

Step by Step Solution

1. Step 1: Write the proportion equation
   31,344 : 47,016 = 47,016 : x
2. Step 2: Convert to fraction form
   31,344/47,016 = 47,016/x
3. Step 3: Cross multiply
   31,344x = 47,016 × 47,016
4. Step 4: Simplify right side
   31,344x = 2,210,504,256
5. Step 5: Solve for x
   x = 2,210,504,256/31,344
6. Step 6: Final answer
   x = 70,524