Finding the Third Proportional to 19,149.75 and 27,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,149.75 : 27,581.50 = 27,581.50 : x
2. Step 2: Convert to fraction form
   19,149.75/27,581.50 = 27,581.50/x
3. Step 3: Cross multiply
   19,149.75x = 27,581.50 × 27,581.50
4. Step 4: Simplify right side
   19,149.75x = 760,739,142.25
5. Step 5: Solve for x
   x = 760,739,142.25/19,149.75
6. Step 6: Final answer
   x = 39,725.80