Finding the Third Proportional to 2,511.56 and 5,091.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,511.56 : 5,091.47 = 5,091.47 : x
2. Step 2: Convert to fraction form
   2,511.56/5,091.47 = 5,091.47/x
3. Step 3: Cross multiply
   2,511.56x = 5,091.47 × 5,091.47
4. Step 4: Simplify right side
   2,511.56x = 25,923,054.03
5. Step 5: Solve for x
   x = 25,923,054.03/2,511.56
6. Step 6: Final answer
   x = 10,321.48