Finding the Third Proportional to 72,067 and 107,766

Step by Step Solution

1. Step 1: Write the proportion equation
   72,067 : 107,766 = 107,766 : x
2. Step 2: Convert to fraction form
   72,067/107,766 = 107,766/x
3. Step 3: Cross multiply
   72,067x = 107,766 × 107,766
4. Step 4: Simplify right side
   72,067x = 11,613,510,756
5. Step 5: Solve for x
   x = 11,613,510,756/72,067
6. Step 6: Final answer
   x = 161,148.80