Finding the Third Proportional to 10,366 and 21,965

Step by Step Solution

1. Step 1: Write the proportion equation
   10,366 : 21,965 = 21,965 : x
2. Step 2: Convert to fraction form
   10,366/21,965 = 21,965/x
3. Step 3: Cross multiply
   10,366x = 21,965 × 21,965
4. Step 4: Simplify right side
   10,366x = 482,461,225
5. Step 5: Solve for x
   x = 482,461,225/10,366
6. Step 6: Final answer
   x = 46,542.66