Finding the Third Proportional to 37,067 and 80,686

Step by Step Solution

1. Step 1: Write the proportion equation
   37,067 : 80,686 = 80,686 : x
2. Step 2: Convert to fraction form
   37,067/80,686 = 80,686/x
3. Step 3: Cross multiply
   37,067x = 80,686 × 80,686
4. Step 4: Simplify right side
   37,067x = 6,510,230,596
5. Step 5: Solve for x
   x = 6,510,230,596/37,067
6. Step 6: Final answer
   x = 175,634.14