Finding the Third Proportional to 31,708 and 65,336

Step by Step Solution

1. Step 1: Write the proportion equation
   31,708 : 65,336 = 65,336 : x
2. Step 2: Convert to fraction form
   31,708/65,336 = 65,336/x
3. Step 3: Cross multiply
   31,708x = 65,336 × 65,336
4. Step 4: Simplify right side
   31,708x = 4,268,792,896
5. Step 5: Solve for x
   x = 4,268,792,896/31,708
6. Step 6: Final answer
   x = 134,628.26