Finding the Third Proportional to 1,297.46 and 2,782.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.46 : 2,782.34 = 2,782.34 : x
2. Step 2: Convert to fraction form
   1,297.46/2,782.34 = 2,782.34/x
3. Step 3: Cross multiply
   1,297.46x = 2,782.34 × 2,782.34
4. Step 4: Simplify right side
   1,297.46x = 7,741,405.50
5. Step 5: Solve for x
   x = 7,741,405.50/1,297.46
6. Step 6: Final answer
   x = 5,966.57