Finding the Third Proportional to 1,776.94 and 3,424.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,776.94 : 3,424.78 = 3,424.78 : x
2. Step 2: Convert to fraction form
   1,776.94/3,424.78 = 3,424.78/x
3. Step 3: Cross multiply
   1,776.94x = 3,424.78 × 3,424.78
4. Step 4: Simplify right side
   1,776.94x = 11,729,126.61
5. Step 5: Solve for x
   x = 11,729,126.61/1,776.94
6. Step 6: Final answer
   x = 6,600.75