Finding the Third Proportional to 30,735 and 65,901

Step by Step Solution

1. Step 1: Write the proportion equation
   30,735 : 65,901 = 65,901 : x
2. Step 2: Convert to fraction form
   30,735/65,901 = 65,901/x
3. Step 3: Cross multiply
   30,735x = 65,901 × 65,901
4. Step 4: Simplify right side
   30,735x = 4,342,941,801
5. Step 5: Solve for x
   x = 4,342,941,801/30,735
6. Step 6: Final answer
   x = 141,302.81