Finding the Third Proportional to 1,297.69 and 1,779.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.69 : 1,779.75 = 1,779.75 : x
2. Step 2: Convert to fraction form
   1,297.69/1,779.75 = 1,779.75/x
3. Step 3: Cross multiply
   1,297.69x = 1,779.75 × 1,779.75
4. Step 4: Simplify right side
   1,297.69x = 3,167,510.06
5. Step 5: Solve for x
   x = 3,167,510.06/1,297.69
6. Step 6: Final answer
   x = 2,440.89