Finding the Third Proportional to 3,494.25 and 4,417.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,494.25 : 4,417.88 = 4,417.88 : x
2. Step 2: Convert to fraction form
   3,494.25/4,417.88 = 4,417.88/x
3. Step 3: Cross multiply
   3,494.25x = 4,417.88 × 4,417.88
4. Step 4: Simplify right side
   3,494.25x = 19,517,619.52
5. Step 5: Solve for x
   x = 19,517,619.52/3,494.25
6. Step 6: Final answer
   x = 5,585.64