Finding the Third Proportional to 10,140 and 21,576

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140 : 21,576 = 21,576 : x
2. Step 2: Convert to fraction form
   10,140/21,576 = 21,576/x
3. Step 3: Cross multiply
   10,140x = 21,576 × 21,576
4. Step 4: Simplify right side
   10,140x = 465,523,776
5. Step 5: Solve for x
   x = 465,523,776/10,140
6. Step 6: Final answer
   x = 45,909.64