Finding the Third Proportional to 11,136 and 16,182

Step by Step Solution

1. Step 1: Write the proportion equation
   11,136 : 16,182 = 16,182 : x
2. Step 2: Convert to fraction form
   11,136/16,182 = 16,182/x
3. Step 3: Cross multiply
   11,136x = 16,182 × 16,182
4. Step 4: Simplify right side
   11,136x = 261,857,124
5. Step 5: Solve for x
   x = 261,857,124/11,136
6. Step 6: Final answer
   x = 23,514.47