Finding the Third Proportional to 33,680 and 50,521

Step by Step Solution

1. Step 1: Write the proportion equation
   33,680 : 50,521 = 50,521 : x
2. Step 2: Convert to fraction form
   33,680/50,521 = 50,521/x
3. Step 3: Cross multiply
   33,680x = 50,521 × 50,521
4. Step 4: Simplify right side
   33,680x = 2,552,371,441
5. Step 5: Solve for x
   x = 2,552,371,441/33,680
6. Step 6: Final answer
   x = 75,783.00