Finding the Third Proportional to 41,942.25 and 83,853

Step by Step Solution

1. Step 1: Write the proportion equation
   41,942.25 : 83,853 = 83,853 : x
2. Step 2: Convert to fraction form
   41,942.25/83,853 = 83,853/x
3. Step 3: Cross multiply
   41,942.25x = 83,853 × 83,853
4. Step 4: Simplify right side
   41,942.25x = 7,031,325,609
5. Step 5: Solve for x
   x = 7,031,325,609/41,942.25
6. Step 6: Final answer
   x = 167,643.02