Finding the Third Proportional to 2,541.75 and 5,209.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,541.75 : 5,209.88 = 5,209.88 : x
2. Step 2: Convert to fraction form
   2,541.75/5,209.88 = 5,209.88/x
3. Step 3: Cross multiply
   2,541.75x = 5,209.88 × 5,209.88
4. Step 4: Simplify right side
   2,541.75x = 27,142,797.52
5. Step 5: Solve for x
   x = 27,142,797.52/2,541.75
6. Step 6: Final answer
   x = 10,678.78