Finding the Third Proportional to 35,779 and 80,686

Step by Step Solution

1. Step 1: Write the proportion equation
   35,779 : 80,686 = 80,686 : x
2. Step 2: Convert to fraction form
   35,779/80,686 = 80,686/x
3. Step 3: Cross multiply
   35,779x = 80,686 × 80,686
4. Step 4: Simplify right side
   35,779x = 6,510,230,596
5. Step 5: Solve for x
   x = 6,510,230,596/35,779
6. Step 6: Final answer
   x = 181,956.75