Finding the Third Proportional to 10,096 and 21,578

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096 : 21,578 = 21,578 : x
2. Step 2: Convert to fraction form
   10,096/21,578 = 21,578/x
3. Step 3: Cross multiply
   10,096x = 21,578 × 21,578
4. Step 4: Simplify right side
   10,096x = 465,610,084
5. Step 5: Solve for x
   x = 465,610,084/10,096
6. Step 6: Final answer
   x = 46,118.27