Finding the Third Proportional to 2,235 and 3,314.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,235 : 3,314.25 = 3,314.25 : x
2. Step 2: Convert to fraction form
   2,235/3,314.25 = 3,314.25/x
3. Step 3: Cross multiply
   2,235x = 3,314.25 × 3,314.25
4. Step 4: Simplify right side
   2,235x = 10,984,253.06
5. Step 5: Solve for x
   x = 10,984,253.06/2,235
6. Step 6: Final answer
   x = 4,914.65