Finding the Third Proportional to 677.86 and 1,485.42

Step by Step Solution

1. Step 1: Write the proportion equation
   677.86 : 1,485.42 = 1,485.42 : x
2. Step 2: Convert to fraction form
   677.86/1,485.42 = 1,485.42/x
3. Step 3: Cross multiply
   677.86x = 1,485.42 × 1,485.42
4. Step 4: Simplify right side
   677.86x = 2,206,478.15
5. Step 5: Solve for x
   x = 2,206,478.15/677.86
6. Step 6: Final answer
   x = 3,255.07