Finding the Third Proportional to 10,412 and 21,566

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412 : 21,566 = 21,566 : x
2. Step 2: Convert to fraction form
   10,412/21,566 = 21,566/x
3. Step 3: Cross multiply
   10,412x = 21,566 × 21,566
4. Step 4: Simplify right side
   10,412x = 465,092,356
5. Step 5: Solve for x
   x = 465,092,356/10,412
6. Step 6: Final answer
   x = 44,668.88