Finding the Third Proportional to 9,456 and 10,284

Step by Step Solution

1. Step 1: Write the proportion equation
   9,456 : 10,284 = 10,284 : x
2. Step 2: Convert to fraction form
   9,456/10,284 = 10,284/x
3. Step 3: Cross multiply
   9,456x = 10,284 × 10,284
4. Step 4: Simplify right side
   9,456x = 105,760,656
5. Step 5: Solve for x
   x = 105,760,656/9,456
6. Step 6: Final answer
   x = 11,184.50