Finding the Third Proportional to 540 and 1,185.05

Step by Step Solution

1. Step 1: Write the proportion equation
   540 : 1,185.05 = 1,185.05 : x
2. Step 2: Convert to fraction form
   540/1,185.05 = 1,185.05/x
3. Step 3: Cross multiply
   540x = 1,185.05 × 1,185.05
4. Step 4: Simplify right side
   540x = 1,404,336.10
5. Step 5: Solve for x
   x = 1,404,336.10/540
6. Step 6: Final answer
   x = 2,600.62