Finding the Third Proportional to 1,552.31 and 2,297.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.31 : 2,297.81 = 2,297.81 : x
2. Step 2: Convert to fraction form
   1,552.31/2,297.81 = 2,297.81/x
3. Step 3: Cross multiply
   1,552.31x = 2,297.81 × 2,297.81
4. Step 4: Simplify right side
   1,552.31x = 5,279,942.29
5. Step 5: Solve for x
   x = 5,279,942.29/1,552.31
6. Step 6: Final answer
   x = 3,401.34