Finding the Third Proportional to 10,915 and 16,576

Step by Step Solution

1. Step 1: Write the proportion equation
   10,915 : 16,576 = 16,576 : x
2. Step 2: Convert to fraction form
   10,915/16,576 = 16,576/x
3. Step 3: Cross multiply
   10,915x = 16,576 × 16,576
4. Step 4: Simplify right side
   10,915x = 274,763,776
5. Step 5: Solve for x
   x = 274,763,776/10,915
6. Step 6: Final answer
   x = 25,173.04