Finding the Third Proportional to 1,076.50 and 2,288

Step by Step Solution

1. Step 1: Write the proportion equation
   1,076.50 : 2,288 = 2,288 : x
2. Step 2: Convert to fraction form
   1,076.50/2,288 = 2,288/x
3. Step 3: Cross multiply
   1,076.50x = 2,288 × 2,288
4. Step 4: Simplify right side
   1,076.50x = 5,234,944
5. Step 5: Solve for x
   x = 5,234,944/1,076.50
6. Step 6: Final answer
   x = 4,862.93