Finding the Third Proportional to 20,084 and 30,664

Step by Step Solution

1. Step 1: Write the proportion equation
   20,084 : 30,664 = 30,664 : x
2. Step 2: Convert to fraction form
   20,084/30,664 = 30,664/x
3. Step 3: Cross multiply
   20,084x = 30,664 × 30,664
4. Step 4: Simplify right side
   20,084x = 940,280,896
5. Step 5: Solve for x
   x = 940,280,896/20,084
6. Step 6: Final answer
   x = 46,817.41