Finding the Third Proportional to 31,808 and 71,732

Step by Step Solution

1. Step 1: Write the proportion equation
   31,808 : 71,732 = 71,732 : x
2. Step 2: Convert to fraction form
   31,808/71,732 = 71,732/x
3. Step 3: Cross multiply
   31,808x = 71,732 × 71,732
4. Step 4: Simplify right side
   31,808x = 5,145,479,824
5. Step 5: Solve for x
   x = 5,145,479,824/31,808
6. Step 6: Final answer
   x = 161,766.85