Finding the Third Proportional to 10,628 and 21,688

Step by Step Solution

1. Step 1: Write the proportion equation
   10,628 : 21,688 = 21,688 : x
2. Step 2: Convert to fraction form
   10,628/21,688 = 21,688/x
3. Step 3: Cross multiply
   10,628x = 21,688 × 21,688
4. Step 4: Simplify right side
   10,628x = 470,369,344
5. Step 5: Solve for x
   x = 470,369,344/10,628
6. Step 6: Final answer
   x = 44,257.56