Finding the Third Proportional to 25,536 and 41,004

Step by Step Solution

1. Step 1: Write the proportion equation
   25,536 : 41,004 = 41,004 : x
2. Step 2: Convert to fraction form
   25,536/41,004 = 41,004/x
3. Step 3: Cross multiply
   25,536x = 41,004 × 41,004
4. Step 4: Simplify right side
   25,536x = 1,681,328,016
5. Step 5: Solve for x
   x = 1,681,328,016/25,536
6. Step 6: Final answer
   x = 65,841.48