Finding the Third Proportional to 1,581.82 and 2,359.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.82 : 2,359.65 = 2,359.65 : x
2. Step 2: Convert to fraction form
   1,581.82/2,359.65 = 2,359.65/x
3. Step 3: Cross multiply
   1,581.82x = 2,359.65 × 2,359.65
4. Step 4: Simplify right side
   1,581.82x = 5,567,959.18
5. Step 5: Solve for x
   x = 5,567,959.18/1,581.82
6. Step 6: Final answer
   x = 3,519.97