Finding the Third Proportional to 1,257.38 and 2,703.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,257.38 : 2,703.69 = 2,703.69 : x
2. Step 2: Convert to fraction form
   1,257.38/2,703.69 = 2,703.69/x
3. Step 3: Cross multiply
   1,257.38x = 2,703.69 × 2,703.69
4. Step 4: Simplify right side
   1,257.38x = 7,309,926.10
5. Step 5: Solve for x
   x = 7,309,926.10/1,257.38
6. Step 6: Final answer
   x = 5,813.64