Finding the Third Proportional to 10,096 and 21,424

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096 : 21,424 = 21,424 : x
2. Step 2: Convert to fraction form
   10,096/21,424 = 21,424/x
3. Step 3: Cross multiply
   10,096x = 21,424 × 21,424
4. Step 4: Simplify right side
   10,096x = 458,987,776
5. Step 5: Solve for x
   x = 458,987,776/10,096
6. Step 6: Final answer
   x = 45,462.34