Finding the Third Proportional to 25,728 and 41,088

Step by Step Solution

1. Step 1: Write the proportion equation
   25,728 : 41,088 = 41,088 : x
2. Step 2: Convert to fraction form
   25,728/41,088 = 41,088/x
3. Step 3: Cross multiply
   25,728x = 41,088 × 41,088
4. Step 4: Simplify right side
   25,728x = 1,688,223,744
5. Step 5: Solve for x
   x = 1,688,223,744/25,728
6. Step 6: Final answer
   x = 65,618.15