Finding the Third Proportional to 2,297.53 and 3,446.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,297.53 : 3,446.72 = 3,446.72 : x
2. Step 2: Convert to fraction form
   2,297.53/3,446.72 = 3,446.72/x
3. Step 3: Cross multiply
   2,297.53x = 3,446.72 × 3,446.72
4. Step 4: Simplify right side
   2,297.53x = 11,879,870.14
5. Step 5: Solve for x
   x = 11,879,870.14/2,297.53
6. Step 6: Final answer
   x = 5,170.71