Finding the Third Proportional to 1,287 and 2,693.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,287 : 2,693.25 = 2,693.25 : x
2. Step 2: Convert to fraction form
   1,287/2,693.25 = 2,693.25/x
3. Step 3: Cross multiply
   1,287x = 2,693.25 × 2,693.25
4. Step 4: Simplify right side
   1,287x = 7,253,595.56
5. Step 5: Solve for x
   x = 7,253,595.56/1,287
6. Step 6: Final answer
   x = 5,636.05