Finding the Third Proportional to 1,682 and 2,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,682 : 2,675.50 = 2,675.50 : x
2. Step 2: Convert to fraction form
   1,682/2,675.50 = 2,675.50/x
3. Step 3: Cross multiply
   1,682x = 2,675.50 × 2,675.50
4. Step 4: Simplify right side
   1,682x = 7,158,300.25
5. Step 5: Solve for x
   x = 7,158,300.25/1,682
6. Step 6: Final answer
   x = 4,255.83