Finding the Third Proportional to 41,409 and 61,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,409 : 61,969.50 = 61,969.50 : x
2. Step 2: Convert to fraction form
   41,409/61,969.50 = 61,969.50/x
3. Step 3: Cross multiply
   41,409x = 61,969.50 × 61,969.50
4. Step 4: Simplify right side
   41,409x = 3,840,218,930.25
5. Step 5: Solve for x
   x = 3,840,218,930.25/41,409
6. Step 6: Final answer
   x = 92,738.75