Finding the Third Proportional to 1,297 and 2,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297 : 2,684.50 = 2,684.50 : x
2. Step 2: Convert to fraction form
   1,297/2,684.50 = 2,684.50/x
3. Step 3: Cross multiply
   1,297x = 2,684.50 × 2,684.50
4. Step 4: Simplify right side
   1,297x = 7,206,540.25
5. Step 5: Solve for x
   x = 7,206,540.25/1,297
6. Step 6: Final answer
   x = 5,556.31