Finding the Third Proportional to 1,675.25 and 3,682.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,675.25 : 3,682.88 = 3,682.88 : x
2. Step 2: Convert to fraction form
   1,675.25/3,682.88 = 3,682.88/x
3. Step 3: Cross multiply
   1,675.25x = 3,682.88 × 3,682.88
4. Step 4: Simplify right side
   1,675.25x = 13,563,568.27
5. Step 5: Solve for x
   x = 13,563,568.27/1,675.25
6. Step 6: Final answer
   x = 8,096.44