Finding the Third Proportional to 17,009 and 25,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,009 : 25,578.50 = 25,578.50 : x
2. Step 2: Convert to fraction form
   17,009/25,578.50 = 25,578.50/x
3. Step 3: Cross multiply
   17,009x = 25,578.50 × 25,578.50
4. Step 4: Simplify right side
   17,009x = 654,259,662.25
5. Step 5: Solve for x
   x = 654,259,662.25/17,009
6. Step 6: Final answer
   x = 38,465.50