Finding the Third Proportional to 25,996 and 41,320

Step by Step Solution

1. Step 1: Write the proportion equation
   25,996 : 41,320 = 41,320 : x
2. Step 2: Convert to fraction form
   25,996/41,320 = 41,320/x
3. Step 3: Cross multiply
   25,996x = 41,320 × 41,320
4. Step 4: Simplify right side
   25,996x = 1,707,342,400
5. Step 5: Solve for x
   x = 1,707,342,400/25,996
6. Step 6: Final answer
   x = 65,677.12