Finding the Third Proportional to 65,685 and 101,901

Step by Step Solution

1. Step 1: Write the proportion equation
   65,685 : 101,901 = 101,901 : x
2. Step 2: Convert to fraction form
   65,685/101,901 = 101,901/x
3. Step 3: Cross multiply
   65,685x = 101,901 × 101,901
4. Step 4: Simplify right side
   65,685x = 10,383,813,801
5. Step 5: Solve for x
   x = 10,383,813,801/65,685
6. Step 6: Final answer
   x = 158,085.01