Finding the Third Proportional to 10,397 and 21,186

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397 : 21,186 = 21,186 : x
2. Step 2: Convert to fraction form
   10,397/21,186 = 21,186/x
3. Step 3: Cross multiply
   10,397x = 21,186 × 21,186
4. Step 4: Simplify right side
   10,397x = 448,846,596
5. Step 5: Solve for x
   x = 448,846,596/10,397
6. Step 6: Final answer
   x = 43,170.78