Finding the Third Proportional to 9,784 and 12,796

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784 : 12,796 = 12,796 : x
2. Step 2: Convert to fraction form
   9,784/12,796 = 12,796/x
3. Step 3: Cross multiply
   9,784x = 12,796 × 12,796
4. Step 4: Simplify right side
   9,784x = 163,737,616
5. Step 5: Solve for x
   x = 163,737,616/9,784
6. Step 6: Final answer
   x = 16,735.24