Finding the Third Proportional to 10,223 and 21,905

Step by Step Solution

1. Step 1: Write the proportion equation
   10,223 : 21,905 = 21,905 : x
2. Step 2: Convert to fraction form
   10,223/21,905 = 21,905/x
3. Step 3: Cross multiply
   10,223x = 21,905 × 21,905
4. Step 4: Simplify right side
   10,223x = 479,829,025
5. Step 5: Solve for x
   x = 479,829,025/10,223
6. Step 6: Final answer
   x = 46,936.22