Finding the Third Proportional to 25,860 and 41,014

Step by Step Solution

1. Step 1: Write the proportion equation
   25,860 : 41,014 = 41,014 : x
2. Step 2: Convert to fraction form
   25,860/41,014 = 41,014/x
3. Step 3: Cross multiply
   25,860x = 41,014 × 41,014
4. Step 4: Simplify right side
   25,860x = 1,682,148,196
5. Step 5: Solve for x
   x = 1,682,148,196/25,860
6. Step 6: Final answer
   x = 65,048.27