Finding the Third Proportional to 2,242 and 5,656

Step by Step Solution

1. Step 1: Write the proportion equation
   2,242 : 5,656 = 5,656 : x
2. Step 2: Convert to fraction form
   2,242/5,656 = 5,656/x
3. Step 3: Cross multiply
   2,242x = 5,656 × 5,656
4. Step 4: Simplify right side
   2,242x = 31,990,336
5. Step 5: Solve for x
   x = 31,990,336/2,242
6. Step 6: Final answer
   x = 14,268.66