Finding the Third Proportional to 1,075.78 and 2,279.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,075.78 : 2,279.71 = 2,279.71 : x
2. Step 2: Convert to fraction form
   1,075.78/2,279.71 = 2,279.71/x
3. Step 3: Cross multiply
   1,075.78x = 2,279.71 × 2,279.71
4. Step 4: Simplify right side
   1,075.78x = 5,197,064.15
5. Step 5: Solve for x
   x = 5,197,064.15/1,075.78
6. Step 6: Final answer
   x = 4,830.97