Finding the Third Proportional to 65,727 and 101,682

Step by Step Solution

1. Step 1: Write the proportion equation
   65,727 : 101,682 = 101,682 : x
2. Step 2: Convert to fraction form
   65,727/101,682 = 101,682/x
3. Step 3: Cross multiply
   65,727x = 101,682 × 101,682
4. Step 4: Simplify right side
   65,727x = 10,339,229,124
5. Step 5: Solve for x
   x = 10,339,229,124/65,727
6. Step 6: Final answer
   x = 157,305.66