Finding the Third Proportional to 16,636 and 25,724

Step by Step Solution

1. Step 1: Write the proportion equation
   16,636 : 25,724 = 25,724 : x
2. Step 2: Convert to fraction form
   16,636/25,724 = 25,724/x
3. Step 3: Cross multiply
   16,636x = 25,724 × 25,724
4. Step 4: Simplify right side
   16,636x = 661,724,176
5. Step 5: Solve for x
   x = 661,724,176/16,636
6. Step 6: Final answer
   x = 39,776.64