Finding the Third Proportional to 2,268.09 and 3,469.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,268.09 : 3,469.64 = 3,469.64 : x
2. Step 2: Convert to fraction form
   2,268.09/3,469.64 = 3,469.64/x
3. Step 3: Cross multiply
   2,268.09x = 3,469.64 × 3,469.64
4. Step 4: Simplify right side
   2,268.09x = 12,038,406.07
5. Step 5: Solve for x
   x = 12,038,406.07/2,268.09
6. Step 6: Final answer
   x = 5,307.72