Finding the Third Proportional to 2,357.86 and 5,023.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,357.86 : 5,023.27 = 5,023.27 : x
2. Step 2: Convert to fraction form
   2,357.86/5,023.27 = 5,023.27/x
3. Step 3: Cross multiply
   2,357.86x = 5,023.27 × 5,023.27
4. Step 4: Simplify right side
   2,357.86x = 25,233,197.54
5. Step 5: Solve for x
   x = 25,233,197.54/2,357.86
6. Step 6: Final answer
   x = 10,701.74