Finding the Third Proportional to 1,297.69 and 3,046.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.69 : 3,046.57 = 3,046.57 : x
2. Step 2: Convert to fraction form
   1,297.69/3,046.57 = 3,046.57/x
3. Step 3: Cross multiply
   1,297.69x = 3,046.57 × 3,046.57
4. Step 4: Simplify right side
   1,297.69x = 9,281,590.67
5. Step 5: Solve for x
   x = 9,281,590.67/1,297.69
6. Step 6: Final answer
   x = 7,152.41