Finding the Third Proportional to 5,637 and 10,722

Step by Step Solution

1. Step 1: Write the proportion equation
   5,637 : 10,722 = 10,722 : x
2. Step 2: Convert to fraction form
   5,637/10,722 = 10,722/x
3. Step 3: Cross multiply
   5,637x = 10,722 × 10,722
4. Step 4: Simplify right side
   5,637x = 114,961,284
5. Step 5: Solve for x
   x = 114,961,284/5,637
6. Step 6: Final answer
   x = 20,394.05