Finding the Third Proportional to 30,139.50 and 65,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,139.50 : 65,296.50 = 65,296.50 : x
2. Step 2: Convert to fraction form
   30,139.50/65,296.50 = 65,296.50/x
3. Step 3: Cross multiply
   30,139.50x = 65,296.50 × 65,296.50
4. Step 4: Simplify right side
   30,139.50x = 4,263,632,912.25
5. Step 5: Solve for x
   x = 4,263,632,912.25/30,139.50
6. Step 6: Final answer
   x = 141,463.29