Finding the Third Proportional to 19,149.50 and 27,581.25

Step by Step Solution

1. Step 1: Write the proportion equation
   19,149.50 : 27,581.25 = 27,581.25 : x
2. Step 2: Convert to fraction form
   19,149.50/27,581.25 = 27,581.25/x
3. Step 3: Cross multiply
   19,149.50x = 27,581.25 × 27,581.25
4. Step 4: Simplify right side
   19,149.50x = 760,725,351.56
5. Step 5: Solve for x
   x = 760,725,351.56/19,149.50
6. Step 6: Final answer
   x = 39,725.60