Finding the Third Proportional to 15,720 and 23,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,720 : 23,578.50 = 23,578.50 : x
2. Step 2: Convert to fraction form
   15,720/23,578.50 = 23,578.50/x
3. Step 3: Cross multiply
   15,720x = 23,578.50 × 23,578.50
4. Step 4: Simplify right side
   15,720x = 555,945,662.25
5. Step 5: Solve for x
   x = 555,945,662.25/15,720
6. Step 6: Final answer
   x = 35,365.50