Finding the Third Proportional to 35,140.50 and 71,709.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,140.50 : 71,709.75 = 71,709.75 : x
2. Step 2: Convert to fraction form
   35,140.50/71,709.75 = 71,709.75/x
3. Step 3: Cross multiply
   35,140.50x = 71,709.75 × 71,709.75
4. Step 4: Simplify right side
   35,140.50x = 5,142,288,245.06
5. Step 5: Solve for x
   x = 5,142,288,245.06/35,140.50
6. Step 6: Final answer
   x = 146,335.09