Finding the Third Proportional to 10,096 and 22,136

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096 : 22,136 = 22,136 : x
2. Step 2: Convert to fraction form
   10,096/22,136 = 22,136/x
3. Step 3: Cross multiply
   10,096x = 22,136 × 22,136
4. Step 4: Simplify right side
   10,096x = 490,002,496
5. Step 5: Solve for x
   x = 490,002,496/10,096
6. Step 6: Final answer
   x = 48,534.32