Finding the Third Proportional to 42,606 and 68,067

Step by Step Solution

1. Step 1: Write the proportion equation
   42,606 : 68,067 = 68,067 : x
2. Step 2: Convert to fraction form
   42,606/68,067 = 68,067/x
3. Step 3: Cross multiply
   42,606x = 68,067 × 68,067
4. Step 4: Simplify right side
   42,606x = 4,633,116,489
5. Step 5: Solve for x
   x = 4,633,116,489/42,606
6. Step 6: Final answer
   x = 108,743.29