Finding the Third Proportional to 10,646 and 21,822

Step by Step Solution

1. Step 1: Write the proportion equation
   10,646 : 21,822 = 21,822 : x
2. Step 2: Convert to fraction form
   10,646/21,822 = 21,822/x
3. Step 3: Cross multiply
   10,646x = 21,822 × 21,822
4. Step 4: Simplify right side
   10,646x = 476,199,684
5. Step 5: Solve for x
   x = 476,199,684/10,646
6. Step 6: Final answer
   x = 44,730.39