Finding the Third Proportional to 35,352 and 50,824

Step by Step Solution

1. Step 1: Write the proportion equation
   35,352 : 50,824 = 50,824 : x
2. Step 2: Convert to fraction form
   35,352/50,824 = 50,824/x
3. Step 3: Cross multiply
   35,352x = 50,824 × 50,824
4. Step 4: Simplify right side
   35,352x = 2,583,078,976
5. Step 5: Solve for x
   x = 2,583,078,976/35,352
6. Step 6: Final answer
   x = 73,067.41