Finding the Third Proportional to 31,136 and 67,267

Step by Step Solution

1. Step 1: Write the proportion equation
   31,136 : 67,267 = 67,267 : x
2. Step 2: Convert to fraction form
   31,136/67,267 = 67,267/x
3. Step 3: Cross multiply
   31,136x = 67,267 × 67,267
4. Step 4: Simplify right side
   31,136x = 4,524,849,289
5. Step 5: Solve for x
   x = 4,524,849,289/31,136
6. Step 6: Final answer
   x = 145,325.32