Finding the Third Proportional to 10,422 and 21,269

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422 : 21,269 = 21,269 : x
2. Step 2: Convert to fraction form
   10,422/21,269 = 21,269/x
3. Step 3: Cross multiply
   10,422x = 21,269 × 21,269
4. Step 4: Simplify right side
   10,422x = 452,370,361
5. Step 5: Solve for x
   x = 452,370,361/10,422
6. Step 6: Final answer
   x = 43,405.33