Finding the Third Proportional to 2,782.88 and 4,279.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.88 : 4,279.31 = 4,279.31 : x
2. Step 2: Convert to fraction form
   2,782.88/4,279.31 = 4,279.31/x
3. Step 3: Cross multiply
   2,782.88x = 4,279.31 × 4,279.31
4. Step 4: Simplify right side
   2,782.88x = 18,312,515.47
5. Step 5: Solve for x
   x = 18,312,515.47/2,782.88
6. Step 6: Final answer
   x = 6,580.43