Finding the Third Proportional to 72,664 and 109,067

Step by Step Solution

1. Step 1: Write the proportion equation
   72,664 : 109,067 = 109,067 : x
2. Step 2: Convert to fraction form
   72,664/109,067 = 109,067/x
3. Step 3: Cross multiply
   72,664x = 109,067 × 109,067
4. Step 4: Simplify right side
   72,664x = 11,895,610,489
5. Step 5: Solve for x
   x = 11,895,610,489/72,664
6. Step 6: Final answer
   x = 163,707.07