Finding the Third Proportional to 2,736.84 and 4,185.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,736.84 : 4,185.56 = 4,185.56 : x
2. Step 2: Convert to fraction form
   2,736.84/4,185.56 = 4,185.56/x
3. Step 3: Cross multiply
   2,736.84x = 4,185.56 × 4,185.56
4. Step 4: Simplify right side
   2,736.84x = 17,518,933.44
5. Step 5: Solve for x
   x = 17,518,933.44/2,736.84
6. Step 6: Final answer
   x = 6,401.14