Finding the Third Proportional to 33,680 and 50,520

Step by Step Solution

1. Step 1: Write the proportion equation
   33,680 : 50,520 = 50,520 : x
2. Step 2: Convert to fraction form
   33,680/50,520 = 50,520/x
3. Step 3: Cross multiply
   33,680x = 50,520 × 50,520
4. Step 4: Simplify right side
   33,680x = 2,552,270,400
5. Step 5: Solve for x
   x = 2,552,270,400/33,680
6. Step 6: Final answer
   x = 75,780