Finding the Third Proportional to 10,326 and 21,381

Step by Step Solution

1. Step 1: Write the proportion equation
   10,326 : 21,381 = 21,381 : x
2. Step 2: Convert to fraction form
   10,326/21,381 = 21,381/x
3. Step 3: Cross multiply
   10,326x = 21,381 × 21,381
4. Step 4: Simplify right side
   10,326x = 457,147,161
5. Step 5: Solve for x
   x = 457,147,161/10,326
6. Step 6: Final answer
   x = 44,271.47