Finding the Third Proportional to 1,038 and 2,262

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038 : 2,262 = 2,262 : x
2. Step 2: Convert to fraction form
   1,038/2,262 = 2,262/x
3. Step 3: Cross multiply
   1,038x = 2,262 × 2,262
4. Step 4: Simplify right side
   1,038x = 5,116,644
5. Step 5: Solve for x
   x = 5,116,644/1,038
6. Step 6: Final answer
   x = 4,929.33