Finding the Third Proportional to 1,686.94 and 2,269.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686.94 : 2,269.69 = 2,269.69 : x
2. Step 2: Convert to fraction form
   1,686.94/2,269.69 = 2,269.69/x
3. Step 3: Cross multiply
   1,686.94x = 2,269.69 × 2,269.69
4. Step 4: Simplify right side
   1,686.94x = 5,151,481.35
5. Step 5: Solve for x
   x = 5,151,481.35/1,686.94
6. Step 6: Final answer
   x = 3,053.75