Finding the Third Proportional to 5,588 and 10,996

Step by Step Solution

1. Step 1: Write the proportion equation
   5,588 : 10,996 = 10,996 : x
2. Step 2: Convert to fraction form
   5,588/10,996 = 10,996/x
3. Step 3: Cross multiply
   5,588x = 10,996 × 10,996
4. Step 4: Simplify right side
   5,588x = 120,912,016
5. Step 5: Solve for x
   x = 120,912,016/5,588
6. Step 6: Final answer
   x = 21,637.80