Finding the Third Proportional to 15,830 and 34,042

Step by Step Solution

1. Step 1: Write the proportion equation
   15,830 : 34,042 = 34,042 : x
2. Step 2: Convert to fraction form
   15,830/34,042 = 34,042/x
3. Step 3: Cross multiply
   15,830x = 34,042 × 34,042
4. Step 4: Simplify right side
   15,830x = 1,158,857,764
5. Step 5: Solve for x
   x = 1,158,857,764/15,830
6. Step 6: Final answer
   x = 73,206.43