Finding the Third Proportional to 8,784 and 9,488

Step by Step Solution

1. Step 1: Write the proportion equation
   8,784 : 9,488 = 9,488 : x
2. Step 2: Convert to fraction form
   8,784/9,488 = 9,488/x
3. Step 3: Cross multiply
   8,784x = 9,488 × 9,488
4. Step 4: Simplify right side
   8,784x = 90,022,144
5. Step 5: Solve for x
   x = 90,022,144/8,784
6. Step 6: Final answer
   x = 10,248.42