Finding the Third Proportional to 31,198.50 and 65,738.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,198.50 : 65,738.25 = 65,738.25 : x
2. Step 2: Convert to fraction form
   31,198.50/65,738.25 = 65,738.25/x
3. Step 3: Cross multiply
   31,198.50x = 65,738.25 × 65,738.25
4. Step 4: Simplify right side
   31,198.50x = 4,321,517,513.06
5. Step 5: Solve for x
   x = 4,321,517,513.06/31,198.50
6. Step 6: Final answer
   x = 138,516.84