Finding the Third Proportional to 10,397 and 21,407

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397 : 21,407 = 21,407 : x
2. Step 2: Convert to fraction form
   10,397/21,407 = 21,407/x
3. Step 3: Cross multiply
   10,397x = 21,407 × 21,407
4. Step 4: Simplify right side
   10,397x = 458,259,649
5. Step 5: Solve for x
   x = 458,259,649/10,397
6. Step 6: Final answer
   x = 44,076.14