Finding the Third Proportional to 10,422 and 21,704

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422 : 21,704 = 21,704 : x
2. Step 2: Convert to fraction form
   10,422/21,704 = 21,704/x
3. Step 3: Cross multiply
   10,422x = 21,704 × 21,704
4. Step 4: Simplify right side
   10,422x = 471,063,616
5. Step 5: Solve for x
   x = 471,063,616/10,422
6. Step 6: Final answer
   x = 45,198.97