Finding the Third Proportional to 380.25 and 1,026

Step by Step Solution

1. Step 1: Write the proportion equation
   380.25 : 1,026 = 1,026 : x
2. Step 2: Convert to fraction form
   380.25/1,026 = 1,026/x
3. Step 3: Cross multiply
   380.25x = 1,026 × 1,026
4. Step 4: Simplify right side
   380.25x = 1,052,676
5. Step 5: Solve for x
   x = 1,052,676/380.25
6. Step 6: Final answer
   x = 2,768.38