Finding the Third Proportional to 2,777.63 and 4,069.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,777.63 : 4,069.69 = 4,069.69 : x
2. Step 2: Convert to fraction form
   2,777.63/4,069.69 = 4,069.69/x
3. Step 3: Cross multiply
   2,777.63x = 4,069.69 × 4,069.69
4. Step 4: Simplify right side
   2,777.63x = 16,562,356.35
5. Step 5: Solve for x
   x = 16,562,356.35/2,777.63
6. Step 6: Final answer
   x = 5,962.78