Finding the Third Proportional to 13,219 and 20,456

Step by Step Solution

1. Step 1: Write the proportion equation
   13,219 : 20,456 = 20,456 : x
2. Step 2: Convert to fraction form
   13,219/20,456 = 20,456/x
3. Step 3: Cross multiply
   13,219x = 20,456 × 20,456
4. Step 4: Simplify right side
   13,219x = 418,447,936
5. Step 5: Solve for x
   x = 418,447,936/13,219
6. Step 6: Final answer
   x = 31,655.04