Finding the Third Proportional to 9,200 and 13,827

Step by Step Solution

1. Step 1: Write the proportion equation
   9,200 : 13,827 = 13,827 : x
2. Step 2: Convert to fraction form
   9,200/13,827 = 13,827/x
3. Step 3: Cross multiply
   9,200x = 13,827 × 13,827
4. Step 4: Simplify right side
   9,200x = 191,185,929
5. Step 5: Solve for x
   x = 191,185,929/9,200
6. Step 6: Final answer
   x = 20,781.08