Finding the Third Proportional to 20,494 and 32,009

Step by Step Solution

1. Step 1: Write the proportion equation
   20,494 : 32,009 = 32,009 : x
2. Step 2: Convert to fraction form
   20,494/32,009 = 32,009/x
3. Step 3: Cross multiply
   20,494x = 32,009 × 32,009
4. Step 4: Simplify right side
   20,494x = 1,024,576,081
5. Step 5: Solve for x
   x = 1,024,576,081/20,494
6. Step 6: Final answer
   x = 49,993.95