Finding the Third Proportional to 1,297.69 and 2,648.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.69 : 2,648.81 = 2,648.81 : x
2. Step 2: Convert to fraction form
   1,297.69/2,648.81 = 2,648.81/x
3. Step 3: Cross multiply
   1,297.69x = 2,648.81 × 2,648.81
4. Step 4: Simplify right side
   1,297.69x = 7,016,207.66
5. Step 5: Solve for x
   x = 7,016,207.66/1,297.69
6. Step 6: Final answer
   x = 5,406.70