Finding the Third Proportional to 30,709.50 and 65,107.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,709.50 : 65,107.50 = 65,107.50 : x
2. Step 2: Convert to fraction form
   30,709.50/65,107.50 = 65,107.50/x
3. Step 3: Cross multiply
   30,709.50x = 65,107.50 × 65,107.50
4. Step 4: Simplify right side
   30,709.50x = 4,238,986,556.25
5. Step 5: Solve for x
   x = 4,238,986,556.25/30,709.50
6. Step 6: Final answer
   x = 138,035.02