Finding the Third Proportional to 10,466 and 21,412

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466 : 21,412 = 21,412 : x
2. Step 2: Convert to fraction form
   10,466/21,412 = 21,412/x
3. Step 3: Cross multiply
   10,466x = 21,412 × 21,412
4. Step 4: Simplify right side
   10,466x = 458,473,744
5. Step 5: Solve for x
   x = 458,473,744/10,466
6. Step 6: Final answer
   x = 43,806.01