Finding the Third Proportional to 30,802 and 34,042

Step by Step Solution

1. Step 1: Write the proportion equation
   30,802 : 34,042 = 34,042 : x
2. Step 2: Convert to fraction form
   30,802/34,042 = 34,042/x
3. Step 3: Cross multiply
   30,802x = 34,042 × 34,042
4. Step 4: Simplify right side
   30,802x = 1,158,857,764
5. Step 5: Solve for x
   x = 1,158,857,764/30,802
6. Step 6: Final answer
   x = 37,622.81