Finding the Third Proportional to 1,674.42 and 2,587.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,674.42 : 2,587.57 = 2,587.57 : x
2. Step 2: Convert to fraction form
   1,674.42/2,587.57 = 2,587.57/x
3. Step 3: Cross multiply
   1,674.42x = 2,587.57 × 2,587.57
4. Step 4: Simplify right side
   1,674.42x = 6,695,520.12
5. Step 5: Solve for x
   x = 6,695,520.12/1,674.42
6. Step 6: Final answer
   x = 3,998.71