Finding the Third Proportional to 1,581.75 and 2,514.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.75 : 2,514.09 = 2,514.09 : x
2. Step 2: Convert to fraction form
   1,581.75/2,514.09 = 2,514.09/x
3. Step 3: Cross multiply
   1,581.75x = 2,514.09 × 2,514.09
4. Step 4: Simplify right side
   1,581.75x = 6,320,667.38
5. Step 5: Solve for x
   x = 6,320,667.38/1,581.75
6. Step 6: Final answer
   x = 3,996.00