Finding the Third Proportional to 1,271.95 and 1,676.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,271.95 : 1,676.32 = 1,676.32 : x
2. Step 2: Convert to fraction form
   1,271.95/1,676.32 = 1,676.32/x
3. Step 3: Cross multiply
   1,271.95x = 1,676.32 × 1,676.32
4. Step 4: Simplify right side
   1,271.95x = 2,810,049.79
5. Step 5: Solve for x
   x = 2,810,049.79/1,271.95
6. Step 6: Final answer
   x = 2,209.24