Finding the Third Proportional to 1,037.97 and 2,277.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,037.97 : 2,277.77 = 2,277.77 : x
2. Step 2: Convert to fraction form
   1,037.97/2,277.77 = 2,277.77/x
3. Step 3: Cross multiply
   1,037.97x = 2,277.77 × 2,277.77
4. Step 4: Simplify right side
   1,037.97x = 5,188,231.81
5. Step 5: Solve for x
   x = 5,188,231.81/1,037.97
6. Step 6: Final answer
   x = 4,998.44