Finding the Third Proportional to 13,709.25 and 18,578.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,709.25 : 18,578.25 = 18,578.25 : x
2. Step 2: Convert to fraction form
   13,709.25/18,578.25 = 18,578.25/x
3. Step 3: Cross multiply
   13,709.25x = 18,578.25 × 18,578.25
4. Step 4: Simplify right side
   13,709.25x = 345,151,373.06
5. Step 5: Solve for x
   x = 345,151,373.06/13,709.25
6. Step 6: Final answer
   x = 25,176.53