Finding the Third Proportional to 2,321.63 and 5,105.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,321.63 : 5,105.63 = 5,105.63 : x
2. Step 2: Convert to fraction form
   2,321.63/5,105.63 = 5,105.63/x
3. Step 3: Cross multiply
   2,321.63x = 5,105.63 × 5,105.63
4. Step 4: Simplify right side
   2,321.63x = 26,067,406.64
5. Step 5: Solve for x
   x = 26,067,406.64/2,321.63
6. Step 6: Final answer
   x = 11,228.09