Finding the Third Proportional to 2,399.06 and 3,635.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,399.06 : 3,635.86 = 3,635.86 : x
2. Step 2: Convert to fraction form
   2,399.06/3,635.86 = 3,635.86/x
3. Step 3: Cross multiply
   2,399.06x = 3,635.86 × 3,635.86
4. Step 4: Simplify right side
   2,399.06x = 13,219,473.39
5. Step 5: Solve for x
   x = 13,219,473.39/2,399.06
6. Step 6: Final answer
   x = 5,510.27