Finding the Third Proportional to 25,852 and 41,002

Step by Step Solution

1. Step 1: Write the proportion equation
   25,852 : 41,002 = 41,002 : x
2. Step 2: Convert to fraction form
   25,852/41,002 = 41,002/x
3. Step 3: Cross multiply
   25,852x = 41,002 × 41,002
4. Step 4: Simplify right side
   25,852x = 1,681,164,004
5. Step 5: Solve for x
   x = 1,681,164,004/25,852
6. Step 6: Final answer
   x = 65,030.33