Finding the Third Proportional to 25,944 and 41,182

Step by Step Solution

1. Step 1: Write the proportion equation
   25,944 : 41,182 = 41,182 : x
2. Step 2: Convert to fraction form
   25,944/41,182 = 41,182/x
3. Step 3: Cross multiply
   25,944x = 41,182 × 41,182
4. Step 4: Simplify right side
   25,944x = 1,695,957,124
5. Step 5: Solve for x
   x = 1,695,957,124/25,944
6. Step 6: Final answer
   x = 65,369.92