Finding the Third Proportional to 1,207.69 and 2,581.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,207.69 : 2,581.59 = 2,581.59 : x
2. Step 2: Convert to fraction form
   1,207.69/2,581.59 = 2,581.59/x
3. Step 3: Cross multiply
   1,207.69x = 2,581.59 × 2,581.59
4. Step 4: Simplify right side
   1,207.69x = 6,664,626.29
5. Step 5: Solve for x
   x = 6,664,626.29/1,207.69
6. Step 6: Final answer
   x = 5,518.50