Finding the Third Proportional to 4,626 and 10,145

Step by Step Solution

1. Step 1: Write the proportion equation
   4,626 : 10,145 = 10,145 : x
2. Step 2: Convert to fraction form
   4,626/10,145 = 10,145/x
3. Step 3: Cross multiply
   4,626x = 10,145 × 10,145
4. Step 4: Simplify right side
   4,626x = 102,921,025
5. Step 5: Solve for x
   x = 102,921,025/4,626
6. Step 6: Final answer
   x = 22,248.38