Finding the Third Proportional to 687.38 and 1,504.69

Step by Step Solution

1. Step 1: Write the proportion equation
   687.38 : 1,504.69 = 1,504.69 : x
2. Step 2: Convert to fraction form
   687.38/1,504.69 = 1,504.69/x
3. Step 3: Cross multiply
   687.38x = 1,504.69 × 1,504.69
4. Step 4: Simplify right side
   687.38x = 2,264,084.47
5. Step 5: Solve for x
   x = 2,264,084.47/687.38
6. Step 6: Final answer
   x = 3,293.81