Finding the Third Proportional to 9,536 and 22,136

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 22,136 = 22,136 : x
2. Step 2: Convert to fraction form
   9,536/22,136 = 22,136/x
3. Step 3: Cross multiply
   9,536x = 22,136 × 22,136
4. Step 4: Simplify right side
   9,536x = 490,002,496
5. Step 5: Solve for x
   x = 490,002,496/9,536
6. Step 6: Final answer
   x = 51,384.49