Finding the Third Proportional to 30,661 and 65,695

Step by Step Solution

1. Step 1: Write the proportion equation
   30,661 : 65,695 = 65,695 : x
2. Step 2: Convert to fraction form
   30,661/65,695 = 65,695/x
3. Step 3: Cross multiply
   30,661x = 65,695 × 65,695
4. Step 4: Simplify right side
   30,661x = 4,315,833,025
5. Step 5: Solve for x
   x = 4,315,833,025/30,661
6. Step 6: Final answer
   x = 140,759.70