Finding the Third Proportional to 12,456 and 18,576

Step by Step Solution

1. Step 1: Write the proportion equation
   12,456 : 18,576 = 18,576 : x
2. Step 2: Convert to fraction form
   12,456/18,576 = 18,576/x
3. Step 3: Cross multiply
   12,456x = 18,576 × 18,576
4. Step 4: Simplify right side
   12,456x = 345,067,776
5. Step 5: Solve for x
   x = 345,067,776/12,456
6. Step 6: Final answer
   x = 27,702.94