Finding the Third Proportional to 41,806.50 and 91,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,806.50 : 91,387.50 = 91,387.50 : x
2. Step 2: Convert to fraction form
   41,806.50/91,387.50 = 91,387.50/x
3. Step 3: Cross multiply
   41,806.50x = 91,387.50 × 91,387.50
4. Step 4: Simplify right side
   41,806.50x = 8,351,675,156.25
5. Step 5: Solve for x
   x = 8,351,675,156.25/41,806.50
6. Step 6: Final answer
   x = 199,769.78