Finding the Third Proportional to 2,776.31 and 4,417.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,776.31 : 4,417.69 = 4,417.69 : x
2. Step 2: Convert to fraction form
   2,776.31/4,417.69 = 4,417.69/x
3. Step 3: Cross multiply
   2,776.31x = 4,417.69 × 4,417.69
4. Step 4: Simplify right side
   2,776.31x = 19,515,962.85
5. Step 5: Solve for x
   x = 19,515,962.85/2,776.31
6. Step 6: Final answer
   x = 7,029.45