Finding the Third Proportional to 1,036.50 and 2,678.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.50 : 2,678.25 = 2,678.25 : x
2. Step 2: Convert to fraction form
   1,036.50/2,678.25 = 2,678.25/x
3. Step 3: Cross multiply
   1,036.50x = 2,678.25 × 2,678.25
4. Step 4: Simplify right side
   1,036.50x = 7,173,023.06
5. Step 5: Solve for x
   x = 7,173,023.06/1,036.50
6. Step 6: Final answer
   x = 6,920.43