Finding the Third Proportional to 10,084 and 21,211

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084 : 21,211 = 21,211 : x
2. Step 2: Convert to fraction form
   10,084/21,211 = 21,211/x
3. Step 3: Cross multiply
   10,084x = 21,211 × 21,211
4. Step 4: Simplify right side
   10,084x = 449,906,521
5. Step 5: Solve for x
   x = 449,906,521/10,084
6. Step 6: Final answer
   x = 44,615.88