Finding the Third Proportional to 10,086 and 21,576

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086 : 21,576 = 21,576 : x
2. Step 2: Convert to fraction form
   10,086/21,576 = 21,576/x
3. Step 3: Cross multiply
   10,086x = 21,576 × 21,576
4. Step 4: Simplify right side
   10,086x = 465,523,776
5. Step 5: Solve for x
   x = 465,523,776/10,086
6. Step 6: Final answer
   x = 46,155.44