Finding the Third Proportional to 30,682 and 71,693

Step by Step Solution

1. Step 1: Write the proportion equation
   30,682 : 71,693 = 71,693 : x
2. Step 2: Convert to fraction form
   30,682/71,693 = 71,693/x
3. Step 3: Cross multiply
   30,682x = 71,693 × 71,693
4. Step 4: Simplify right side
   30,682x = 5,139,886,249
5. Step 5: Solve for x
   x = 5,139,886,249/30,682
6. Step 6: Final answer
   x = 167,521.23