Finding the Third Proportional to 2,795.25 and 4,077

Step by Step Solution

1. Step 1: Write the proportion equation
   2,795.25 : 4,077 = 4,077 : x
2. Step 2: Convert to fraction form
   2,795.25/4,077 = 4,077/x
3. Step 3: Cross multiply
   2,795.25x = 4,077 × 4,077
4. Step 4: Simplify right side
   2,795.25x = 16,621,929
5. Step 5: Solve for x
   x = 16,621,929/2,795.25
6. Step 6: Final answer
   x = 5,946.49