Finding the Third Proportional to 1,077.75 and 2,278.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.75 : 2,278.69 = 2,278.69 : x
2. Step 2: Convert to fraction form
   1,077.75/2,278.69 = 2,278.69/x
3. Step 3: Cross multiply
   1,077.75x = 2,278.69 × 2,278.69
4. Step 4: Simplify right side
   1,077.75x = 5,192,416.72
5. Step 5: Solve for x
   x = 5,192,416.72/1,077.75
6. Step 6: Final answer
   x = 4,817.83