Finding the Third Proportional to 21,364 and 31,944

Step by Step Solution

1. Step 1: Write the proportion equation
   21,364 : 31,944 = 31,944 : x
2. Step 2: Convert to fraction form
   21,364/31,944 = 31,944/x
3. Step 3: Cross multiply
   21,364x = 31,944 × 31,944
4. Step 4: Simplify right side
   21,364x = 1,020,419,136
5. Step 5: Solve for x
   x = 1,020,419,136/21,364
6. Step 6: Final answer
   x = 47,763.49