Finding the Third Proportional to 1,050.79 and 1,678.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,050.79 : 1,678.69 = 1,678.69 : x
2. Step 2: Convert to fraction form
   1,050.79/1,678.69 = 1,678.69/x
3. Step 3: Cross multiply
   1,050.79x = 1,678.69 × 1,678.69
4. Step 4: Simplify right side
   1,050.79x = 2,818,011.39
5. Step 5: Solve for x
   x = 2,818,011.39/1,050.79
6. Step 6: Final answer
   x = 2,681.82