Finding the Third Proportional to 7,564.50 and 17,578.13

Step by Step Solution

1. Step 1: Write the proportion equation
   7,564.50 : 17,578.13 = 17,578.13 : x
2. Step 2: Convert to fraction form
   7,564.50/17,578.13 = 17,578.13/x
3. Step 3: Cross multiply
   7,564.50x = 17,578.13 × 17,578.13
4. Step 4: Simplify right side
   7,564.50x = 308,990,478.52
5. Step 5: Solve for x
   x = 308,990,478.52/7,564.50
6. Step 6: Final answer
   x = 40,847.44