Finding the Third Proportional to 11,009 and 16,604

Step by Step Solution

1. Step 1: Write the proportion equation
   11,009 : 16,604 = 16,604 : x
2. Step 2: Convert to fraction form
   11,009/16,604 = 16,604/x
3. Step 3: Cross multiply
   11,009x = 16,604 × 16,604
4. Step 4: Simplify right side
   11,009x = 275,692,816
5. Step 5: Solve for x
   x = 275,692,816/11,009
6. Step 6: Final answer
   x = 25,042.49