Finding the Third Proportional to 1,026 and 1,152

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026 : 1,152 = 1,152 : x
2. Step 2: Convert to fraction form
   1,026/1,152 = 1,152/x
3. Step 3: Cross multiply
   1,026x = 1,152 × 1,152
4. Step 4: Simplify right side
   1,026x = 1,327,104
5. Step 5: Solve for x
   x = 1,327,104/1,026
6. Step 6: Final answer
   x = 1,293.47