Finding the Third Proportional to 7,568 and 10,576

Step by Step Solution

1. Step 1: Write the proportion equation
   7,568 : 10,576 = 10,576 : x
2. Step 2: Convert to fraction form
   7,568/10,576 = 10,576/x
3. Step 3: Cross multiply
   7,568x = 10,576 × 10,576
4. Step 4: Simplify right side
   7,568x = 111,851,776
5. Step 5: Solve for x
   x = 111,851,776/7,568
6. Step 6: Final answer
   x = 14,779.57