Finding the Third Proportional to 8,776 and 10,024

Step by Step Solution

1. Step 1: Write the proportion equation
   8,776 : 10,024 = 10,024 : x
2. Step 2: Convert to fraction form
   8,776/10,024 = 10,024/x
3. Step 3: Cross multiply
   8,776x = 10,024 × 10,024
4. Step 4: Simplify right side
   8,776x = 100,480,576
5. Step 5: Solve for x
   x = 100,480,576/8,776
6. Step 6: Final answer
   x = 11,449.47