Finding the Third Proportional to 20,754 and 32,189

Step by Step Solution

1. Step 1: Write the proportion equation
   20,754 : 32,189 = 32,189 : x
2. Step 2: Convert to fraction form
   20,754/32,189 = 32,189/x
3. Step 3: Cross multiply
   20,754x = 32,189 × 32,189
4. Step 4: Simplify right side
   20,754x = 1,036,131,721
5. Step 5: Solve for x
   x = 1,036,131,721/20,754
6. Step 6: Final answer
   x = 49,924.43