Finding the Third Proportional to 676.50 and 1,601.88

Step by Step Solution

1. Step 1: Write the proportion equation
   676.50 : 1,601.88 = 1,601.88 : x
2. Step 2: Convert to fraction form
   676.50/1,601.88 = 1,601.88/x
3. Step 3: Cross multiply
   676.50x = 1,601.88 × 1,601.88
4. Step 4: Simplify right side
   676.50x = 2,566,003.52
5. Step 5: Solve for x
   x = 2,566,003.52/676.50
6. Step 6: Final answer
   x = 3,793.06