Finding the Third Proportional to 2,268.56 and 3,422.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,268.56 : 3,422.06 = 3,422.06 : x
2. Step 2: Convert to fraction form
   2,268.56/3,422.06 = 3,422.06/x
3. Step 3: Cross multiply
   2,268.56x = 3,422.06 × 3,422.06
4. Step 4: Simplify right side
   2,268.56x = 11,710,511.75
5. Step 5: Solve for x
   x = 11,710,511.75/2,268.56
6. Step 6: Final answer
   x = 5,162.08