Finding the Third Proportional to 33,839 and 50,623

Step by Step Solution

1. Step 1: Write the proportion equation
   33,839 : 50,623 = 50,623 : x
2. Step 2: Convert to fraction form
   33,839/50,623 = 50,623/x
3. Step 3: Cross multiply
   33,839x = 50,623 × 50,623
4. Step 4: Simplify right side
   33,839x = 2,562,688,129
5. Step 5: Solve for x
   x = 2,562,688,129/33,839
6. Step 6: Final answer
   x = 75,731.79