Finding the Third Proportional to 10,228 and 21,478

Step by Step Solution

1. Step 1: Write the proportion equation
   10,228 : 21,478 = 21,478 : x
2. Step 2: Convert to fraction form
   10,228/21,478 = 21,478/x
3. Step 3: Cross multiply
   10,228x = 21,478 × 21,478
4. Step 4: Simplify right side
   10,228x = 461,304,484
5. Step 5: Solve for x
   x = 461,304,484/10,228
6. Step 6: Final answer
   x = 45,102.12