Finding the Third Proportional to 35,275.50 and 83,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,275.50 : 83,227.50 = 83,227.50 : x
2. Step 2: Convert to fraction form
   35,275.50/83,227.50 = 83,227.50/x
3. Step 3: Cross multiply
   35,275.50x = 83,227.50 × 83,227.50
4. Step 4: Simplify right side
   35,275.50x = 6,926,816,756.25
5. Step 5: Solve for x
   x = 6,926,816,756.25/35,275.50
6. Step 6: Final answer
   x = 196,363.39