Finding the Third Proportional to 31,144 and 67,232

Step by Step Solution

1. Step 1: Write the proportion equation
   31,144 : 67,232 = 67,232 : x
2. Step 2: Convert to fraction form
   31,144/67,232 = 67,232/x
3. Step 3: Cross multiply
   31,144x = 67,232 × 67,232
4. Step 4: Simplify right side
   31,144x = 4,520,141,824
5. Step 5: Solve for x
   x = 4,520,141,824/31,144
6. Step 6: Final answer
   x = 145,136.84