Finding the Third Proportional to 23,256 and 34,831.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,256 : 34,831.50 = 34,831.50 : x
2. Step 2: Convert to fraction form
   23,256/34,831.50 = 34,831.50/x
3. Step 3: Cross multiply
   23,256x = 34,831.50 × 34,831.50
4. Step 4: Simplify right side
   23,256x = 1,213,233,392.25
5. Step 5: Solve for x
   x = 1,213,233,392.25/23,256
6. Step 6: Final answer
   x = 52,168.62