Finding the Third Proportional to 10,108 and 22,096

Step by Step Solution

1. Step 1: Write the proportion equation
   10,108 : 22,096 = 22,096 : x
2. Step 2: Convert to fraction form
   10,108/22,096 = 22,096/x
3. Step 3: Cross multiply
   10,108x = 22,096 × 22,096
4. Step 4: Simplify right side
   10,108x = 488,233,216
5. Step 5: Solve for x
   x = 488,233,216/10,108
6. Step 6: Final answer
   x = 48,301.66