Finding the Third Proportional to 16,136 and 34,208

Step by Step Solution

1. Step 1: Write the proportion equation
   16,136 : 34,208 = 34,208 : x
2. Step 2: Convert to fraction form
   16,136/34,208 = 34,208/x
3. Step 3: Cross multiply
   16,136x = 34,208 × 34,208
4. Step 4: Simplify right side
   16,136x = 1,170,187,264
5. Step 5: Solve for x
   x = 1,170,187,264/16,136
6. Step 6: Final answer
   x = 72,520.28