Finding the Third Proportional to 30,709.50 and 65,109.75

Step by Step Solution

1. Step 1: Write the proportion equation
   30,709.50 : 65,109.75 = 65,109.75 : x
2. Step 2: Convert to fraction form
   30,709.50/65,109.75 = 65,109.75/x
3. Step 3: Cross multiply
   30,709.50x = 65,109.75 × 65,109.75
4. Step 4: Simplify right side
   30,709.50x = 4,239,279,545.06
5. Step 5: Solve for x
   x = 4,239,279,545.06/30,709.50
6. Step 6: Final answer
   x = 138,044.56