Finding the Third Proportional to 31,136 and 68,320

Step by Step Solution

1. Step 1: Write the proportion equation
   31,136 : 68,320 = 68,320 : x
2. Step 2: Convert to fraction form
   31,136/68,320 = 68,320/x
3. Step 3: Cross multiply
   31,136x = 68,320 × 68,320
4. Step 4: Simplify right side
   31,136x = 4,667,622,400
5. Step 5: Solve for x
   x = 4,667,622,400/31,136
6. Step 6: Final answer
   x = 149,910.79