Finding the Third Proportional to 67,728 and 102,942

Step by Step Solution

1. Step 1: Write the proportion equation
   67,728 : 102,942 = 102,942 : x
2. Step 2: Convert to fraction form
   67,728/102,942 = 102,942/x
3. Step 3: Cross multiply
   67,728x = 102,942 × 102,942
4. Step 4: Simplify right side
   67,728x = 10,597,055,364
5. Step 5: Solve for x
   x = 10,597,055,364/67,728
6. Step 6: Final answer
   x = 156,464.91