Finding the Third Proportional to 32,314 and 69,728

Step by Step Solution

1. Step 1: Write the proportion equation
   32,314 : 69,728 = 69,728 : x
2. Step 2: Convert to fraction form
   32,314/69,728 = 69,728/x
3. Step 3: Cross multiply
   32,314x = 69,728 × 69,728
4. Step 4: Simplify right side
   32,314x = 4,861,993,984
5. Step 5: Solve for x
   x = 4,861,993,984/32,314
6. Step 6: Final answer
   x = 150,460.91