Finding the Third Proportional to 10,520 and 12,136

Step by Step Solution

1. Step 1: Write the proportion equation
   10,520 : 12,136 = 12,136 : x
2. Step 2: Convert to fraction form
   10,520/12,136 = 12,136/x
3. Step 3: Cross multiply
   10,520x = 12,136 × 12,136
4. Step 4: Simplify right side
   10,520x = 147,282,496
5. Step 5: Solve for x
   x = 147,282,496/10,520
6. Step 6: Final answer
   x = 14,000.24