Finding the Third Proportional to 64,812 and 105,831.75

Step by Step Solution

1. Step 1: Write the proportion equation
   64,812 : 105,831.75 = 105,831.75 : x
2. Step 2: Convert to fraction form
   64,812/105,831.75 = 105,831.75/x
3. Step 3: Cross multiply
   64,812x = 105,831.75 × 105,831.75
4. Step 4: Simplify right side
   64,812x = 11,200,359,308.06
5. Step 5: Solve for x
   x = 11,200,359,308.06/64,812
6. Step 6: Final answer
   x = 172,813.05