Finding the Third Proportional to 33,456 and 51,834

Step by Step Solution

1. Step 1: Write the proportion equation
   33,456 : 51,834 = 51,834 : x
2. Step 2: Convert to fraction form
   33,456/51,834 = 51,834/x
3. Step 3: Cross multiply
   33,456x = 51,834 × 51,834
4. Step 4: Simplify right side
   33,456x = 2,686,763,556
5. Step 5: Solve for x
   x = 2,686,763,556/33,456
6. Step 6: Final answer
   x = 80,307.38