Finding the Third Proportional to 16,820 and 20,564

Step by Step Solution

1. Step 1: Write the proportion equation
   16,820 : 20,564 = 20,564 : x
2. Step 2: Convert to fraction form
   16,820/20,564 = 20,564/x
3. Step 3: Cross multiply
   16,820x = 20,564 × 20,564
4. Step 4: Simplify right side
   16,820x = 422,878,096
5. Step 5: Solve for x
   x = 422,878,096/16,820
6. Step 6: Final answer
   x = 25,141.39