Finding the Third Proportional to 10,296 and 21,231

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296 : 21,231 = 21,231 : x
2. Step 2: Convert to fraction form
   10,296/21,231 = 21,231/x
3. Step 3: Cross multiply
   10,296x = 21,231 × 21,231
4. Step 4: Simplify right side
   10,296x = 450,755,361
5. Step 5: Solve for x
   x = 450,755,361/10,296
6. Step 6: Final answer
   x = 43,779.66