Finding the Third Proportional to 15,730.50 and 24,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,730.50 : 24,142.50 = 24,142.50 : x
2. Step 2: Convert to fraction form
   15,730.50/24,142.50 = 24,142.50/x
3. Step 3: Cross multiply
   15,730.50x = 24,142.50 × 24,142.50
4. Step 4: Simplify right side
   15,730.50x = 582,860,306.25
5. Step 5: Solve for x
   x = 582,860,306.25/15,730.50
6. Step 6: Final answer
   x = 37,052.88