Finding the Third Proportional to 15,647.50 and 24,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,647.50 : 24,213.50 = 24,213.50 : x
2. Step 2: Convert to fraction form
   15,647.50/24,213.50 = 24,213.50/x
3. Step 3: Cross multiply
   15,647.50x = 24,213.50 × 24,213.50
4. Step 4: Simplify right side
   15,647.50x = 586,293,582.25
5. Step 5: Solve for x
   x = 586,293,582.25/15,647.50
6. Step 6: Final answer
   x = 37,468.83