Finding the Third Proportional to 10,306 and 21,945

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306 : 21,945 = 21,945 : x
2. Step 2: Convert to fraction form
   10,306/21,945 = 21,945/x
3. Step 3: Cross multiply
   10,306x = 21,945 × 21,945
4. Step 4: Simplify right side
   10,306x = 481,583,025
5. Step 5: Solve for x
   x = 481,583,025/10,306
6. Step 6: Final answer
   x = 46,728.41