Finding the Third Proportional to 34,514 and 52,042

Step by Step Solution

1. Step 1: Write the proportion equation
   34,514 : 52,042 = 52,042 : x
2. Step 2: Convert to fraction form
   34,514/52,042 = 52,042/x
3. Step 3: Cross multiply
   34,514x = 52,042 × 52,042
4. Step 4: Simplify right side
   34,514x = 2,708,369,764
5. Step 5: Solve for x
   x = 2,708,369,764/34,514
6. Step 6: Final answer
   x = 78,471.63