Finding the Third Proportional to 1,552.29 and 2,297.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.29 : 2,297.74 = 2,297.74 : x
2. Step 2: Convert to fraction form
   1,552.29/2,297.74 = 2,297.74/x
3. Step 3: Cross multiply
   1,552.29x = 2,297.74 × 2,297.74
4. Step 4: Simplify right side
   1,552.29x = 5,279,619.16
5. Step 5: Solve for x
   x = 5,279,619.16/1,552.29
6. Step 6: Final answer
   x = 3,401.18