Finding the Third Proportional to 20,754 and 31,743

Step by Step Solution

1. Step 1: Write the proportion equation
   20,754 : 31,743 = 31,743 : x
2. Step 2: Convert to fraction form
   20,754/31,743 = 31,743/x
3. Step 3: Cross multiply
   20,754x = 31,743 × 31,743
4. Step 4: Simplify right side
   20,754x = 1,007,618,049
5. Step 5: Solve for x
   x = 1,007,618,049/20,754
6. Step 6: Final answer
   x = 48,550.55