Finding the Third Proportional to 7,831.50 and 17,730.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,831.50 : 17,730.75 = 17,730.75 : x
2. Step 2: Convert to fraction form
   7,831.50/17,730.75 = 17,730.75/x
3. Step 3: Cross multiply
   7,831.50x = 17,730.75 × 17,730.75
4. Step 4: Simplify right side
   7,831.50x = 314,379,495.56
5. Step 5: Solve for x
   x = 314,379,495.56/7,831.50
6. Step 6: Final answer
   x = 40,142.95