Finding the Third Proportional to 12,378 and 25,576

Step by Step Solution

1. Step 1: Write the proportion equation
   12,378 : 25,576 = 25,576 : x
2. Step 2: Convert to fraction form
   12,378/25,576 = 25,576/x
3. Step 3: Cross multiply
   12,378x = 25,576 × 25,576
4. Step 4: Simplify right side
   12,378x = 654,131,776
5. Step 5: Solve for x
   x = 654,131,776/12,378
6. Step 6: Final answer
   x = 52,846.32