Finding the Third Proportional to 10,345 and 14,626

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345 : 14,626 = 14,626 : x
2. Step 2: Convert to fraction form
   10,345/14,626 = 14,626/x
3. Step 3: Cross multiply
   10,345x = 14,626 × 14,626
4. Step 4: Simplify right side
   10,345x = 213,919,876
5. Step 5: Solve for x
   x = 213,919,876/10,345
6. Step 6: Final answer
   x = 20,678.58