Finding the Third Proportional to 2,263.78 and 3,362.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,263.78 : 3,362.06 = 3,362.06 : x
2. Step 2: Convert to fraction form
   2,263.78/3,362.06 = 3,362.06/x
3. Step 3: Cross multiply
   2,263.78x = 3,362.06 × 3,362.06
4. Step 4: Simplify right side
   2,263.78x = 11,303,464.25
5. Step 5: Solve for x
   x = 11,303,464.25/2,263.78
6. Step 6: Final answer
   x = 4,993.18