Finding the Third Proportional to 31,732 and 65,384

Step by Step Solution

1. Step 1: Write the proportion equation
   31,732 : 65,384 = 65,384 : x
2. Step 2: Convert to fraction form
   31,732/65,384 = 65,384/x
3. Step 3: Cross multiply
   31,732x = 65,384 × 65,384
4. Step 4: Simplify right side
   31,732x = 4,275,067,456
5. Step 5: Solve for x
   x = 4,275,067,456/31,732
6. Step 6: Final answer
   x = 134,724.17