Finding the Third Proportional to 10,314 and 21,366

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314 : 21,366 = 21,366 : x
2. Step 2: Convert to fraction form
   10,314/21,366 = 21,366/x
3. Step 3: Cross multiply
   10,314x = 21,366 × 21,366
4. Step 4: Simplify right side
   10,314x = 456,505,956
5. Step 5: Solve for x
   x = 456,505,956/10,314
6. Step 6: Final answer
   x = 44,260.81