Finding the Third Proportional to 1,277.75 and 2,053.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,277.75 : 2,053.38 = 2,053.38 : x
2. Step 2: Convert to fraction form
   1,277.75/2,053.38 = 2,053.38/x
3. Step 3: Cross multiply
   1,277.75x = 2,053.38 × 2,053.38
4. Step 4: Simplify right side
   1,277.75x = 4,216,348.89
5. Step 5: Solve for x
   x = 4,216,348.89/1,277.75
6. Step 6: Final answer
   x = 3,299.82