Finding the Third Proportional to 785.95 and 1,036.55

Step by Step Solution

1. Step 1: Write the proportion equation
   785.95 : 1,036.55 = 1,036.55 : x
2. Step 2: Convert to fraction form
   785.95/1,036.55 = 1,036.55/x
3. Step 3: Cross multiply
   785.95x = 1,036.55 × 1,036.55
4. Step 4: Simplify right side
   785.95x = 1,074,429.42
5. Step 5: Solve for x
   x = 1,074,429.42/785.95
6. Step 6: Final answer
   x = 1,367.04