Finding the Third Proportional to 10,222 and 21,480

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222 : 21,480 = 21,480 : x
2. Step 2: Convert to fraction form
   10,222/21,480 = 21,480/x
3. Step 3: Cross multiply
   10,222x = 21,480 × 21,480
4. Step 4: Simplify right side
   10,222x = 461,390,400
5. Step 5: Solve for x
   x = 461,390,400/10,222
6. Step 6: Final answer
   x = 45,137.00