Finding the Third Proportional to 10,466 and 19,456

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466 : 19,456 = 19,456 : x
2. Step 2: Convert to fraction form
   10,466/19,456 = 19,456/x
3. Step 3: Cross multiply
   10,466x = 19,456 × 19,456
4. Step 4: Simplify right side
   10,466x = 378,535,936
5. Step 5: Solve for x
   x = 378,535,936/10,466
6. Step 6: Final answer
   x = 36,168.16