Finding the Third Proportional to 21,747 and 32,669

Step by Step Solution

1. Step 1: Write the proportion equation
   21,747 : 32,669 = 32,669 : x
2. Step 2: Convert to fraction form
   21,747/32,669 = 32,669/x
3. Step 3: Cross multiply
   21,747x = 32,669 × 32,669
4. Step 4: Simplify right side
   21,747x = 1,067,263,561
5. Step 5: Solve for x
   x = 1,067,263,561/21,747
6. Step 6: Final answer
   x = 49,076.36