Finding the Third Proportional to 2,297.16 and 3,436.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,297.16 : 3,436.69 = 3,436.69 : x
2. Step 2: Convert to fraction form
   2,297.16/3,436.69 = 3,436.69/x
3. Step 3: Cross multiply
   2,297.16x = 3,436.69 × 3,436.69
4. Step 4: Simplify right side
   2,297.16x = 11,810,820.97
5. Step 5: Solve for x
   x = 11,810,820.97/2,297.16
6. Step 6: Final answer
   x = 5,141.50