Finding the Third Proportional to 16,204 and 19,588

Step by Step Solution

1. Step 1: Write the proportion equation
   16,204 : 19,588 = 19,588 : x
2. Step 2: Convert to fraction form
   16,204/19,588 = 19,588/x
3. Step 3: Cross multiply
   16,204x = 19,588 × 19,588
4. Step 4: Simplify right side
   16,204x = 383,689,744
5. Step 5: Solve for x
   x = 383,689,744/16,204
6. Step 6: Final answer
   x = 23,678.71