Finding the Third Proportional to 25,760 and 39,180

Step by Step Solution

1. Step 1: Write the proportion equation
   25,760 : 39,180 = 39,180 : x
2. Step 2: Convert to fraction form
   25,760/39,180 = 39,180/x
3. Step 3: Cross multiply
   25,760x = 39,180 × 39,180
4. Step 4: Simplify right side
   25,760x = 1,535,072,400
5. Step 5: Solve for x
   x = 1,535,072,400/25,760
6. Step 6: Final answer
   x = 59,591.32