Finding the Third Proportional to 10,222 and 21,702

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222 : 21,702 = 21,702 : x
2. Step 2: Convert to fraction form
   10,222/21,702 = 21,702/x
3. Step 3: Cross multiply
   10,222x = 21,702 × 21,702
4. Step 4: Simplify right side
   10,222x = 470,976,804
5. Step 5: Solve for x
   x = 470,976,804/10,222
6. Step 6: Final answer
   x = 46,074.82