Finding the Third Proportional to 65,831 and 106,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,831 : 106,019.50 = 106,019.50 : x
2. Step 2: Convert to fraction form
   65,831/106,019.50 = 106,019.50/x
3. Step 3: Cross multiply
   65,831x = 106,019.50 × 106,019.50
4. Step 4: Simplify right side
   65,831x = 11,240,134,380.25
5. Step 5: Solve for x
   x = 11,240,134,380.25/65,831
6. Step 6: Final answer
   x = 170,742.27