Finding the Third Proportional to 13,634 and 21,747

Step by Step Solution

1. Step 1: Write the proportion equation
   13,634 : 21,747 = 21,747 : x
2. Step 2: Convert to fraction form
   13,634/21,747 = 21,747/x
3. Step 3: Cross multiply
   13,634x = 21,747 × 21,747
4. Step 4: Simplify right side
   13,634x = 472,932,009
5. Step 5: Solve for x
   x = 472,932,009/13,634
6. Step 6: Final answer
   x = 34,687.69