Finding the Third Proportional to 32,067 and 65,727

Step by Step Solution

1. Step 1: Write the proportion equation
   32,067 : 65,727 = 65,727 : x
2. Step 2: Convert to fraction form
   32,067/65,727 = 65,727/x
3. Step 3: Cross multiply
   32,067x = 65,727 × 65,727
4. Step 4: Simplify right side
   32,067x = 4,320,038,529
5. Step 5: Solve for x
   x = 4,320,038,529/32,067
6. Step 6: Final answer
   x = 134,719.14