Finding the Third Proportional to 35,900 and 83,853

Step by Step Solution

1. Step 1: Write the proportion equation
   35,900 : 83,853 = 83,853 : x
2. Step 2: Convert to fraction form
   35,900/83,853 = 83,853/x
3. Step 3: Cross multiply
   35,900x = 83,853 × 83,853
4. Step 4: Simplify right side
   35,900x = 7,031,325,609
5. Step 5: Solve for x
   x = 7,031,325,609/35,900
6. Step 6: Final answer
   x = 195,858.65