Finding the Third Proportional to 19,149.25 and 27,580.75

Step by Step Solution

1. Step 1: Write the proportion equation
   19,149.25 : 27,580.75 = 27,580.75 : x
2. Step 2: Convert to fraction form
   19,149.25/27,580.75 = 27,580.75/x
3. Step 3: Cross multiply
   19,149.25x = 27,580.75 × 27,580.75
4. Step 4: Simplify right side
   19,149.25x = 760,697,770.56
5. Step 5: Solve for x
   x = 760,697,770.56/19,149.25
6. Step 6: Final answer
   x = 39,724.68