Finding the Third Proportional to 10,996 and 16,589

Step by Step Solution

1. Step 1: Write the proportion equation
   10,996 : 16,589 = 16,589 : x
2. Step 2: Convert to fraction form
   10,996/16,589 = 16,589/x
3. Step 3: Cross multiply
   10,996x = 16,589 × 16,589
4. Step 4: Simplify right side
   10,996x = 275,194,921
5. Step 5: Solve for x
   x = 275,194,921/10,996
6. Step 6: Final answer
   x = 25,026.82