Finding the Third Proportional to 51,834 and 80,042

Step by Step Solution

1. Step 1: Write the proportion equation
   51,834 : 80,042 = 80,042 : x
2. Step 2: Convert to fraction form
   51,834/80,042 = 80,042/x
3. Step 3: Cross multiply
   51,834x = 80,042 × 80,042
4. Step 4: Simplify right side
   51,834x = 6,406,721,764
5. Step 5: Solve for x
   x = 6,406,721,764/51,834
6. Step 6: Final answer
   x = 123,600.76