Finding the Third Proportional to 10,641 and 22,626

Step by Step Solution

1. Step 1: Write the proportion equation
   10,641 : 22,626 = 22,626 : x
2. Step 2: Convert to fraction form
   10,641/22,626 = 22,626/x
3. Step 3: Cross multiply
   10,641x = 22,626 × 22,626
4. Step 4: Simplify right side
   10,641x = 511,935,876
5. Step 5: Solve for x
   x = 511,935,876/10,641
6. Step 6: Final answer
   x = 48,109.75