Finding the Third Proportional to 541.05 and 1,185.10

Step by Step Solution

1. Step 1: Write the proportion equation
   541.05 : 1,185.10 = 1,185.10 : x
2. Step 2: Convert to fraction form
   541.05/1,185.10 = 1,185.10/x
3. Step 3: Cross multiply
   541.05x = 1,185.10 × 1,185.10
4. Step 4: Simplify right side
   541.05x = 1,404,461.08
5. Step 5: Solve for x
   x = 1,404,461.08/541.05
6. Step 6: Final answer
   x = 2,595.78