Finding the Third Proportional to 10,564 and 21,722

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564 : 21,722 = 21,722 : x
2. Step 2: Convert to fraction form
   10,564/21,722 = 21,722/x
3. Step 3: Cross multiply
   10,564x = 21,722 × 21,722
4. Step 4: Simplify right side
   10,564x = 471,845,284
5. Step 5: Solve for x
   x = 471,845,284/10,564
6. Step 6: Final answer
   x = 44,665.40