Finding the Third Proportional to 35,728 and 72,428

Step by Step Solution

1. Step 1: Write the proportion equation
   35,728 : 72,428 = 72,428 : x
2. Step 2: Convert to fraction form
   35,728/72,428 = 72,428/x
3. Step 3: Cross multiply
   35,728x = 72,428 × 72,428
4. Step 4: Simplify right side
   35,728x = 5,245,815,184
5. Step 5: Solve for x
   x = 5,245,815,184/35,728
6. Step 6: Final answer
   x = 146,826.44