Finding the Third Proportional to 33,738 and 51,042

Step by Step Solution

1. Step 1: Write the proportion equation
   33,738 : 51,042 = 51,042 : x
2. Step 2: Convert to fraction form
   33,738/51,042 = 51,042/x
3. Step 3: Cross multiply
   33,738x = 51,042 × 51,042
4. Step 4: Simplify right side
   33,738x = 2,605,285,764
5. Step 5: Solve for x
   x = 2,605,285,764/33,738
6. Step 6: Final answer
   x = 77,221.11