Finding the Third Proportional to 20,560 and 31,944

Step by Step Solution

1. Step 1: Write the proportion equation
   20,560 : 31,944 = 31,944 : x
2. Step 2: Convert to fraction form
   20,560/31,944 = 31,944/x
3. Step 3: Cross multiply
   20,560x = 31,944 × 31,944
4. Step 4: Simplify right side
   20,560x = 1,020,419,136
5. Step 5: Solve for x
   x = 1,020,419,136/20,560
6. Step 6: Final answer
   x = 49,631.28