Finding the Third Proportional to 31,007 and 65,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,007 : 65,739.50 = 65,739.50 : x
2. Step 2: Convert to fraction form
   31,007/65,739.50 = 65,739.50/x
3. Step 3: Cross multiply
   31,007x = 65,739.50 × 65,739.50
4. Step 4: Simplify right side
   31,007x = 4,321,681,860.25
5. Step 5: Solve for x
   x = 4,321,681,860.25/31,007
6. Step 6: Final answer
   x = 139,377.62