Finding the Third Proportional to 1,180.41 and 2,588.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.41 : 2,588.20 = 2,588.20 : x
2. Step 2: Convert to fraction form
   1,180.41/2,588.20 = 2,588.20/x
3. Step 3: Cross multiply
   1,180.41x = 2,588.20 × 2,588.20
4. Step 4: Simplify right side
   1,180.41x = 6,698,795.42
5. Step 5: Solve for x
   x = 6,698,795.42/1,180.41
6. Step 6: Final answer
   x = 5,674.99