Finding the Third Proportional to 1,282.25 and 1,942.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,282.25 : 1,942.46 = 1,942.46 : x
2. Step 2: Convert to fraction form
   1,282.25/1,942.46 = 1,942.46/x
3. Step 3: Cross multiply
   1,282.25x = 1,942.46 × 1,942.46
4. Step 4: Simplify right side
   1,282.25x = 3,773,141.22
5. Step 5: Solve for x
   x = 3,773,141.22/1,282.25
6. Step 6: Final answer
   x = 2,942.60