Finding the Third Proportional to 4,813 and 10,345

Step by Step Solution

1. Step 1: Write the proportion equation
   4,813 : 10,345 = 10,345 : x
2. Step 2: Convert to fraction form
   4,813/10,345 = 10,345/x
3. Step 3: Cross multiply
   4,813x = 10,345 × 10,345
4. Step 4: Simplify right side
   4,813x = 107,019,025
5. Step 5: Solve for x
   x = 107,019,025/4,813
6. Step 6: Final answer
   x = 22,235.41