Finding the Third Proportional to 2,564.23 and 5,118.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.23 : 5,118.89 = 5,118.89 : x
2. Step 2: Convert to fraction form
   2,564.23/5,118.89 = 5,118.89/x
3. Step 3: Cross multiply
   2,564.23x = 5,118.89 × 5,118.89
4. Step 4: Simplify right side
   2,564.23x = 26,203,041.23
5. Step 5: Solve for x
   x = 26,203,041.23/2,564.23
6. Step 6: Final answer
   x = 10,218.69