Finding the Third Proportional to 10,184 and 18,136

Step by Step Solution

1. Step 1: Write the proportion equation
   10,184 : 18,136 = 18,136 : x
2. Step 2: Convert to fraction form
   10,184/18,136 = 18,136/x
3. Step 3: Cross multiply
   10,184x = 18,136 × 18,136
4. Step 4: Simplify right side
   10,184x = 328,914,496
5. Step 5: Solve for x
   x = 328,914,496/10,184
6. Step 6: Final answer
   x = 32,297.18