Finding the Third Proportional to 10,556 and 22,589

Step by Step Solution

1. Step 1: Write the proportion equation
   10,556 : 22,589 = 22,589 : x
2. Step 2: Convert to fraction form
   10,556/22,589 = 22,589/x
3. Step 3: Cross multiply
   10,556x = 22,589 × 22,589
4. Step 4: Simplify right side
   10,556x = 510,262,921
5. Step 5: Solve for x
   x = 510,262,921/10,556
6. Step 6: Final answer
   x = 48,338.66