Finding the Third Proportional to 1,279.55 and 1,587.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,279.55 : 1,587.09 = 1,587.09 : x
2. Step 2: Convert to fraction form
   1,279.55/1,587.09 = 1,587.09/x
3. Step 3: Cross multiply
   1,279.55x = 1,587.09 × 1,587.09
4. Step 4: Simplify right side
   1,279.55x = 2,518,866.57
5. Step 5: Solve for x
   x = 2,518,866.57/1,279.55
6. Step 6: Final answer
   x = 1,968.56