Finding the Third Proportional to 1,038 and 1,162

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038 : 1,162 = 1,162 : x
2. Step 2: Convert to fraction form
   1,038/1,162 = 1,162/x
3. Step 3: Cross multiply
   1,038x = 1,162 × 1,162
4. Step 4: Simplify right side
   1,038x = 1,350,244
5. Step 5: Solve for x
   x = 1,350,244/1,038
6. Step 6: Final answer
   x = 1,300.81