Finding the Third Proportional to 35,686 and 76,853

Step by Step Solution

1. Step 1: Write the proportion equation
   35,686 : 76,853 = 76,853 : x
2. Step 2: Convert to fraction form
   35,686/76,853 = 76,853/x
3. Step 3: Cross multiply
   35,686x = 76,853 × 76,853
4. Step 4: Simplify right side
   35,686x = 5,906,383,609
5. Step 5: Solve for x
   x = 5,906,383,609/35,686
6. Step 6: Final answer
   x = 165,509.82