Finding the Third Proportional to 27,578.25 and 41,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,578.25 : 41,359.50 = 41,359.50 : x
2. Step 2: Convert to fraction form
   27,578.25/41,359.50 = 41,359.50/x
3. Step 3: Cross multiply
   27,578.25x = 41,359.50 × 41,359.50
4. Step 4: Simplify right side
   27,578.25x = 1,710,608,240.25
5. Step 5: Solve for x
   x = 1,710,608,240.25/27,578.25
6. Step 6: Final answer
   x = 62,027.44