Finding the Third Proportional to 19,176 and 25,760

Step by Step Solution

1. Step 1: Write the proportion equation
   19,176 : 25,760 = 25,760 : x
2. Step 2: Convert to fraction form
   19,176/25,760 = 25,760/x
3. Step 3: Cross multiply
   19,176x = 25,760 × 25,760
4. Step 4: Simplify right side
   19,176x = 663,577,600
5. Step 5: Solve for x
   x = 663,577,600/19,176
6. Step 6: Final answer
   x = 34,604.59