Finding the Third Proportional to 1,036.97 and 1,684.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.97 : 1,684.55 = 1,684.55 : x
2. Step 2: Convert to fraction form
   1,036.97/1,684.55 = 1,684.55/x
3. Step 3: Cross multiply
   1,036.97x = 1,684.55 × 1,684.55
4. Step 4: Simplify right side
   1,036.97x = 2,837,698.17
5. Step 5: Solve for x
   x = 2,837,698.17/1,036.97
6. Step 6: Final answer
   x = 2,736.53