Finding the Third Proportional to 31,509.25 and 65,939.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,509.25 : 65,939.75 = 65,939.75 : x
2. Step 2: Convert to fraction form
   31,509.25/65,939.75 = 65,939.75/x
3. Step 3: Cross multiply
   31,509.25x = 65,939.75 × 65,939.75
4. Step 4: Simplify right side
   31,509.25x = 4,348,050,630.06
5. Step 5: Solve for x
   x = 4,348,050,630.06/31,509.25
6. Step 6: Final answer
   x = 137,992.83