Finding the Third Proportional to 2,697.05 and 4,185.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,697.05 : 4,185.74 = 4,185.74 : x
2. Step 2: Convert to fraction form
   2,697.05/4,185.74 = 4,185.74/x
3. Step 3: Cross multiply
   2,697.05x = 4,185.74 × 4,185.74
4. Step 4: Simplify right side
   2,697.05x = 17,520,404.96
5. Step 5: Solve for x
   x = 17,520,404.96/2,697.05
6. Step 6: Final answer
   x = 6,496.14