Finding the Third Proportional to 784.69 and 1,678.22

Step by Step Solution

1. Step 1: Write the proportion equation
   784.69 : 1,678.22 = 1,678.22 : x
2. Step 2: Convert to fraction form
   784.69/1,678.22 = 1,678.22/x
3. Step 3: Cross multiply
   784.69x = 1,678.22 × 1,678.22
4. Step 4: Simplify right side
   784.69x = 2,816,418.17
5. Step 5: Solve for x
   x = 2,816,418.17/784.69
6. Step 6: Final answer
   x = 3,589.22