Finding the Third Proportional to 31,206.50 and 65,004.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,206.50 : 65,004.50 = 65,004.50 : x
2. Step 2: Convert to fraction form
   31,206.50/65,004.50 = 65,004.50/x
3. Step 3: Cross multiply
   31,206.50x = 65,004.50 × 65,004.50
4. Step 4: Simplify right side
   31,206.50x = 4,225,585,020.25
5. Step 5: Solve for x
   x = 4,225,585,020.25/31,206.50
6. Step 6: Final answer
   x = 135,407.21