Finding the Third Proportional to 10,986 and 16,574

Step by Step Solution

1. Step 1: Write the proportion equation
   10,986 : 16,574 = 16,574 : x
2. Step 2: Convert to fraction form
   10,986/16,574 = 16,574/x
3. Step 3: Cross multiply
   10,986x = 16,574 × 16,574
4. Step 4: Simplify right side
   10,986x = 274,697,476
5. Step 5: Solve for x
   x = 274,697,476/10,986
6. Step 6: Final answer
   x = 25,004.32