Finding the Third Proportional to 2,527.88 and 5,541.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.88 : 5,541.75 = 5,541.75 : x
2. Step 2: Convert to fraction form
   2,527.88/5,541.75 = 5,541.75/x
3. Step 3: Cross multiply
   2,527.88x = 5,541.75 × 5,541.75
4. Step 4: Simplify right side
   2,527.88x = 30,710,993.06
5. Step 5: Solve for x
   x = 30,710,993.06/2,527.88
6. Step 6: Final answer
   x = 12,148.94