Finding the Third Proportional to 31,802 and 71,717

Step by Step Solution

1. Step 1: Write the proportion equation
   31,802 : 71,717 = 71,717 : x
2. Step 2: Convert to fraction form
   31,802/71,717 = 71,717/x
3. Step 3: Cross multiply
   31,802x = 71,717 × 71,717
4. Step 4: Simplify right side
   31,802x = 5,143,328,089
5. Step 5: Solve for x
   x = 5,143,328,089/31,802
6. Step 6: Final answer
   x = 161,729.71