Finding the Third Proportional to 2,646.56 and 3,456.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646.56 : 3,456.56 = 3,456.56 : x
2. Step 2: Convert to fraction form
   2,646.56/3,456.56 = 3,456.56/x
3. Step 3: Cross multiply
   2,646.56x = 3,456.56 × 3,456.56
4. Step 4: Simplify right side
   2,646.56x = 11,947,824.32
5. Step 5: Solve for x
   x = 11,947,824.32/2,646.56
6. Step 6: Final answer
   x = 4,514.47