Finding the Third Proportional to 16,564 and 19,636

Step by Step Solution

1. Step 1: Write the proportion equation
   16,564 : 19,636 = 19,636 : x
2. Step 2: Convert to fraction form
   16,564/19,636 = 19,636/x
3. Step 3: Cross multiply
   16,564x = 19,636 × 19,636
4. Step 4: Simplify right side
   16,564x = 385,572,496
5. Step 5: Solve for x
   x = 385,572,496/16,564
6. Step 6: Final answer
   x = 23,277.74