Finding the Third Proportional to 5,644 and 10,736

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644 : 10,736 = 10,736 : x
2. Step 2: Convert to fraction form
   5,644/10,736 = 10,736/x
3. Step 3: Cross multiply
   5,644x = 10,736 × 10,736
4. Step 4: Simplify right side
   5,644x = 115,261,696
5. Step 5: Solve for x
   x = 115,261,696/5,644
6. Step 6: Final answer
   x = 20,421.99