Finding the Third Proportional to 35,524 and 72,268

Step by Step Solution

1. Step 1: Write the proportion equation
   35,524 : 72,268 = 72,268 : x
2. Step 2: Convert to fraction form
   35,524/72,268 = 72,268/x
3. Step 3: Cross multiply
   35,524x = 72,268 × 72,268
4. Step 4: Simplify right side
   35,524x = 5,222,663,824
5. Step 5: Solve for x
   x = 5,222,663,824/35,524
6. Step 6: Final answer
   x = 147,017.90