Finding the Third Proportional to 1,776.94 and 4,050.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,776.94 : 4,050.42 = 4,050.42 : x
2. Step 2: Convert to fraction form
   1,776.94/4,050.42 = 4,050.42/x
3. Step 3: Cross multiply
   1,776.94x = 4,050.42 × 4,050.42
4. Step 4: Simplify right side
   1,776.94x = 16,405,917.37
5. Step 5: Solve for x
   x = 16,405,917.37/1,776.94
6. Step 6: Final answer
   x = 9,232.69