Finding the Third Proportional to 687.38 and 1,510.88

Step by Step Solution

1. Step 1: Write the proportion equation
   687.38 : 1,510.88 = 1,510.88 : x
2. Step 2: Convert to fraction form
   687.38/1,510.88 = 1,510.88/x
3. Step 3: Cross multiply
   687.38x = 1,510.88 × 1,510.88
4. Step 4: Simplify right side
   687.38x = 2,282,743.27
5. Step 5: Solve for x
   x = 2,282,743.27/687.38
6. Step 6: Final answer
   x = 3,320.96