Finding the Third Proportional to 13,628 and 21,742

Step by Step Solution

1. Step 1: Write the proportion equation
   13,628 : 21,742 = 21,742 : x
2. Step 2: Convert to fraction form
   13,628/21,742 = 21,742/x
3. Step 3: Cross multiply
   13,628x = 21,742 × 21,742
4. Step 4: Simplify right side
   13,628x = 472,714,564
5. Step 5: Solve for x
   x = 472,714,564/13,628
6. Step 6: Final answer
   x = 34,687.01