Finding the Third Proportional to 20,669 and 32,084

Step by Step Solution

1. Step 1: Write the proportion equation
   20,669 : 32,084 = 32,084 : x
2. Step 2: Convert to fraction form
   20,669/32,084 = 32,084/x
3. Step 3: Cross multiply
   20,669x = 32,084 × 32,084
4. Step 4: Simplify right side
   20,669x = 1,029,383,056
5. Step 5: Solve for x
   x = 1,029,383,056/20,669
6. Step 6: Final answer
   x = 49,803.23