Finding the Third Proportional to 4,078.50 and 5,541

Step by Step Solution

1. Step 1: Write the proportion equation
   4,078.50 : 5,541 = 5,541 : x
2. Step 2: Convert to fraction form
   4,078.50/5,541 = 5,541/x
3. Step 3: Cross multiply
   4,078.50x = 5,541 × 5,541
4. Step 4: Simplify right side
   4,078.50x = 30,702,681
5. Step 5: Solve for x
   x = 30,702,681/4,078.50
6. Step 6: Final answer
   x = 7,527.93