Finding the Third Proportional to 31,338 and 65,268

Step by Step Solution

1. Step 1: Write the proportion equation
   31,338 : 65,268 = 65,268 : x
2. Step 2: Convert to fraction form
   31,338/65,268 = 65,268/x
3. Step 3: Cross multiply
   31,338x = 65,268 × 65,268
4. Step 4: Simplify right side
   31,338x = 4,259,911,824
5. Step 5: Solve for x
   x = 4,259,911,824/31,338
6. Step 6: Final answer
   x = 135,934.39