Finding the Third Proportional to 35,704 and 75,384

Step by Step Solution

1. Step 1: Write the proportion equation
   35,704 : 75,384 = 75,384 : x
2. Step 2: Convert to fraction form
   35,704/75,384 = 75,384/x
3. Step 3: Cross multiply
   35,704x = 75,384 × 75,384
4. Step 4: Simplify right side
   35,704x = 5,682,747,456
5. Step 5: Solve for x
   x = 5,682,747,456/35,704
6. Step 6: Final answer
   x = 159,162.77