Finding the Third Proportional to 10,397 and 21,406

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397 : 21,406 = 21,406 : x
2. Step 2: Convert to fraction form
   10,397/21,406 = 21,406/x
3. Step 3: Cross multiply
   10,397x = 21,406 × 21,406
4. Step 4: Simplify right side
   10,397x = 458,216,836
5. Step 5: Solve for x
   x = 458,216,836/10,397
6. Step 6: Final answer
   x = 44,072.02