Finding the Third Proportional to 10,777 and 16,610

Step by Step Solution

1. Step 1: Write the proportion equation
   10,777 : 16,610 = 16,610 : x
2. Step 2: Convert to fraction form
   10,777/16,610 = 16,610/x
3. Step 3: Cross multiply
   10,777x = 16,610 × 16,610
4. Step 4: Simplify right side
   10,777x = 275,892,100
5. Step 5: Solve for x
   x = 275,892,100/10,777
6. Step 6: Final answer
   x = 25,600.08