Finding the Third Proportional to 9,184 and 13,866

Step by Step Solution

1. Step 1: Write the proportion equation
   9,184 : 13,866 = 13,866 : x
2. Step 2: Convert to fraction form
   9,184/13,866 = 13,866/x
3. Step 3: Cross multiply
   9,184x = 13,866 × 13,866
4. Step 4: Simplify right side
   9,184x = 192,265,956
5. Step 5: Solve for x
   x = 192,265,956/9,184
6. Step 6: Final answer
   x = 20,934.88