Finding the Third Proportional to 10,220 and 21,469

Step by Step Solution

1. Step 1: Write the proportion equation
   10,220 : 21,469 = 21,469 : x
2. Step 2: Convert to fraction form
   10,220/21,469 = 21,469/x
3. Step 3: Cross multiply
   10,220x = 21,469 × 21,469
4. Step 4: Simplify right side
   10,220x = 460,917,961
5. Step 5: Solve for x
   x = 460,917,961/10,220
6. Step 6: Final answer
   x = 45,099.60