Finding the Third Proportional to 2,673.50 and 4,199.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,673.50 : 4,199.75 = 4,199.75 : x
2. Step 2: Convert to fraction form
   2,673.50/4,199.75 = 4,199.75/x
3. Step 3: Cross multiply
   2,673.50x = 4,199.75 × 4,199.75
4. Step 4: Simplify right side
   2,673.50x = 17,637,900.06
5. Step 5: Solve for x
   x = 17,637,900.06/2,673.50
6. Step 6: Final answer
   x = 6,597.31