Finding the Third Proportional to 9,784 and 10,856

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784 : 10,856 = 10,856 : x
2. Step 2: Convert to fraction form
   9,784/10,856 = 10,856/x
3. Step 3: Cross multiply
   9,784x = 10,856 × 10,856
4. Step 4: Simplify right side
   9,784x = 117,852,736
5. Step 5: Solve for x
   x = 117,852,736/9,784
6. Step 6: Final answer
   x = 12,045.46