Finding the Third Proportional to 2,774.25 and 4,176.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,774.25 : 4,176.56 = 4,176.56 : x
2. Step 2: Convert to fraction form
   2,774.25/4,176.56 = 4,176.56/x
3. Step 3: Cross multiply
   2,774.25x = 4,176.56 × 4,176.56
4. Step 4: Simplify right side
   2,774.25x = 17,443,674.32
5. Step 5: Solve for x
   x = 17,443,674.32/2,774.25
6. Step 6: Final answer
   x = 6,287.71