Finding the Third Proportional to 17,578.50 and 26,369.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,578.50 : 26,369.25 = 26,369.25 : x
2. Step 2: Convert to fraction form
   17,578.50/26,369.25 = 26,369.25/x
3. Step 3: Cross multiply
   17,578.50x = 26,369.25 × 26,369.25
4. Step 4: Simplify right side
   17,578.50x = 695,337,345.56
5. Step 5: Solve for x
   x = 695,337,345.56/17,578.50
6. Step 6: Final answer
   x = 39,556.13