Finding the Third Proportional to 2,395.83 and 5,262.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,395.83 : 5,262.47 = 5,262.47 : x
2. Step 2: Convert to fraction form
   2,395.83/5,262.47 = 5,262.47/x
3. Step 3: Cross multiply
   2,395.83x = 5,262.47 × 5,262.47
4. Step 4: Simplify right side
   2,395.83x = 27,693,577.34
5. Step 5: Solve for x
   x = 27,693,577.34/2,395.83
6. Step 6: Final answer
   x = 11,559.08