Finding the Third Proportional to 16,540 and 23,136

Step by Step Solution

1. Step 1: Write the proportion equation
   16,540 : 23,136 = 23,136 : x
2. Step 2: Convert to fraction form
   16,540/23,136 = 23,136/x
3. Step 3: Cross multiply
   16,540x = 23,136 × 23,136
4. Step 4: Simplify right side
   16,540x = 535,274,496
5. Step 5: Solve for x
   x = 535,274,496/16,540
6. Step 6: Final answer
   x = 32,362.42