Finding the Third Proportional to 19,409 and 41,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,409 : 41,789.50 = 41,789.50 : x
2. Step 2: Convert to fraction form
   19,409/41,789.50 = 41,789.50/x
3. Step 3: Cross multiply
   19,409x = 41,789.50 × 41,789.50
4. Step 4: Simplify right side
   19,409x = 1,746,362,310.25
5. Step 5: Solve for x
   x = 1,746,362,310.25/19,409
6. Step 6: Final answer
   x = 89,976.93