Finding the Third Proportional to 10,231 and 21,397

Step by Step Solution

1. Step 1: Write the proportion equation
   10,231 : 21,397 = 21,397 : x
2. Step 2: Convert to fraction form
   10,231/21,397 = 21,397/x
3. Step 3: Cross multiply
   10,231x = 21,397 × 21,397
4. Step 4: Simplify right side
   10,231x = 457,831,609
5. Step 5: Solve for x
   x = 457,831,609/10,231
6. Step 6: Final answer
   x = 44,749.45