Finding the Third Proportional to 4,826 and 10,414

Step by Step Solution

1. Step 1: Write the proportion equation
   4,826 : 10,414 = 10,414 : x
2. Step 2: Convert to fraction form
   4,826/10,414 = 10,414/x
3. Step 3: Cross multiply
   4,826x = 10,414 × 10,414
4. Step 4: Simplify right side
   4,826x = 108,451,396
5. Step 5: Solve for x
   x = 108,451,396/4,826
6. Step 6: Final answer
   x = 22,472.32