Finding the Third Proportional to 33,834 and 50,556

Step by Step Solution

1. Step 1: Write the proportion equation
   33,834 : 50,556 = 50,556 : x
2. Step 2: Convert to fraction form
   33,834/50,556 = 50,556/x
3. Step 3: Cross multiply
   33,834x = 50,556 × 50,556
4. Step 4: Simplify right side
   33,834x = 2,555,909,136
5. Step 5: Solve for x
   x = 2,555,909,136/33,834
6. Step 6: Final answer
   x = 75,542.62