Finding the Third Proportional to 35,345 and 77,042

Step by Step Solution

1. Step 1: Write the proportion equation
   35,345 : 77,042 = 77,042 : x
2. Step 2: Convert to fraction form
   35,345/77,042 = 77,042/x
3. Step 3: Cross multiply
   35,345x = 77,042 × 77,042
4. Step 4: Simplify right side
   35,345x = 5,935,469,764
5. Step 5: Solve for x
   x = 5,935,469,764/35,345
6. Step 6: Final answer
   x = 167,929.54