Finding the Third Proportional to 1,077.75 and 1,606.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.75 : 1,606.78 = 1,606.78 : x
2. Step 2: Convert to fraction form
   1,077.75/1,606.78 = 1,606.78/x
3. Step 3: Cross multiply
   1,077.75x = 1,606.78 × 1,606.78
4. Step 4: Simplify right side
   1,077.75x = 2,581,745.99
5. Step 5: Solve for x
   x = 2,581,745.99/1,077.75
6. Step 6: Final answer
   x = 2,395.50