Finding the Third Proportional to 21,217 and 31,821

Step by Step Solution

1. Step 1: Write the proportion equation
   21,217 : 31,821 = 31,821 : x
2. Step 2: Convert to fraction form
   21,217/31,821 = 31,821/x
3. Step 3: Cross multiply
   21,217x = 31,821 × 31,821
4. Step 4: Simplify right side
   21,217x = 1,012,576,041
5. Step 5: Solve for x
   x = 1,012,576,041/21,217
6. Step 6: Final answer
   x = 47,724.75