Finding the Third Proportional to 4,796 and 10,456

Step by Step Solution

1. Step 1: Write the proportion equation
   4,796 : 10,456 = 10,456 : x
2. Step 2: Convert to fraction form
   4,796/10,456 = 10,456/x
3. Step 3: Cross multiply
   4,796x = 10,456 × 10,456
4. Step 4: Simplify right side
   4,796x = 109,327,936
5. Step 5: Solve for x
   x = 109,327,936/4,796
6. Step 6: Final answer
   x = 22,795.65