Finding the Third Proportional to 1,269.75 and 2,046.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,269.75 : 2,046.38 = 2,046.38 : x
2. Step 2: Convert to fraction form
   1,269.75/2,046.38 = 2,046.38/x
3. Step 3: Cross multiply
   1,269.75x = 2,046.38 × 2,046.38
4. Step 4: Simplify right side
   1,269.75x = 4,187,650.64
5. Step 5: Solve for x
   x = 4,187,650.64/1,269.75
6. Step 6: Final answer
   x = 3,298.01