Finding the Third Proportional to 852.56 and 1,290.38

Step by Step Solution

1. Step 1: Write the proportion equation
   852.56 : 1,290.38 = 1,290.38 : x
2. Step 2: Convert to fraction form
   852.56/1,290.38 = 1,290.38/x
3. Step 3: Cross multiply
   852.56x = 1,290.38 × 1,290.38
4. Step 4: Simplify right side
   852.56x = 1,665,067.64
5. Step 5: Solve for x
   x = 1,665,067.64/852.56
6. Step 6: Final answer
   x = 1,953.02