Finding the Third Proportional to 3,768 and 10,230

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768 : 10,230 = 10,230 : x
2. Step 2: Convert to fraction form
   3,768/10,230 = 10,230/x
3. Step 3: Cross multiply
   3,768x = 10,230 × 10,230
4. Step 4: Simplify right side
   3,768x = 104,652,900
5. Step 5: Solve for x
   x = 104,652,900/3,768
6. Step 6: Final answer
   x = 27,774.12