Finding the Third Proportional to 65,781 and 102,042

Step by Step Solution

1. Step 1: Write the proportion equation
   65,781 : 102,042 = 102,042 : x
2. Step 2: Convert to fraction form
   65,781/102,042 = 102,042/x
3. Step 3: Cross multiply
   65,781x = 102,042 × 102,042
4. Step 4: Simplify right side
   65,781x = 10,412,569,764
5. Step 5: Solve for x
   x = 10,412,569,764/65,781
6. Step 6: Final answer
   x = 158,291.45