Finding the Third Proportional to 35,462 and 75,028

Step by Step Solution

1. Step 1: Write the proportion equation
   35,462 : 75,028 = 75,028 : x
2. Step 2: Convert to fraction form
   35,462/75,028 = 75,028/x
3. Step 3: Cross multiply
   35,462x = 75,028 × 75,028
4. Step 4: Simplify right side
   35,462x = 5,629,200,784
5. Step 5: Solve for x
   x = 5,629,200,784/35,462
6. Step 6: Final answer
   x = 158,738.95