Finding the Third Proportional to 12,456 and 21,519

Step by Step Solution

1. Step 1: Write the proportion equation
   12,456 : 21,519 = 21,519 : x
2. Step 2: Convert to fraction form
   12,456/21,519 = 21,519/x
3. Step 3: Cross multiply
   12,456x = 21,519 × 21,519
4. Step 4: Simplify right side
   12,456x = 463,067,361
5. Step 5: Solve for x
   x = 463,067,361/12,456
6. Step 6: Final answer
   x = 37,176.25