Finding the Third Proportional to 35,728 and 76,640

Step by Step Solution

1. Step 1: Write the proportion equation
   35,728 : 76,640 = 76,640 : x
2. Step 2: Convert to fraction form
   35,728/76,640 = 76,640/x
3. Step 3: Cross multiply
   35,728x = 76,640 × 76,640
4. Step 4: Simplify right side
   35,728x = 5,873,689,600
5. Step 5: Solve for x
   x = 5,873,689,600/35,728
6. Step 6: Final answer
   x = 164,400.18