Finding the Third Proportional to 15,786.50 and 24,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,786.50 : 24,383.50 = 24,383.50 : x
2. Step 2: Convert to fraction form
   15,786.50/24,383.50 = 24,383.50/x
3. Step 3: Cross multiply
   15,786.50x = 24,383.50 × 24,383.50
4. Step 4: Simplify right side
   15,786.50x = 594,555,072.25
5. Step 5: Solve for x
   x = 594,555,072.25/15,786.50
6. Step 6: Final answer
   x = 37,662.25