Finding the Third Proportional to 1,026 and 2,411.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026 : 2,411.44 = 2,411.44 : x
2. Step 2: Convert to fraction form
   1,026/2,411.44 = 2,411.44/x
3. Step 3: Cross multiply
   1,026x = 2,411.44 × 2,411.44
4. Step 4: Simplify right side
   1,026x = 5,815,030.82
5. Step 5: Solve for x
   x = 5,815,030.82/1,026
6. Step 6: Final answer
   x = 5,667.67