Finding the Third Proportional to 10,185.75 and 21,831.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.75 : 21,831.75 = 21,831.75 : x
2. Step 2: Convert to fraction form
   10,185.75/21,831.75 = 21,831.75/x
3. Step 3: Cross multiply
   10,185.75x = 21,831.75 × 21,831.75
4. Step 4: Simplify right side
   10,185.75x = 476,625,308.06
5. Step 5: Solve for x
   x = 476,625,308.06/10,185.75
6. Step 6: Final answer
   x = 46,793.34