Finding the Third Proportional to 1,180.69 and 2,585.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.69 : 2,585.81 = 2,585.81 : x
2. Step 2: Convert to fraction form
   1,180.69/2,585.81 = 2,585.81/x
3. Step 3: Cross multiply
   1,180.69x = 2,585.81 × 2,585.81
4. Step 4: Simplify right side
   1,180.69x = 6,686,426.29
5. Step 5: Solve for x
   x = 6,686,426.29/1,180.69
6. Step 6: Final answer
   x = 5,663.16