Finding the Third Proportional to 9,786 and 13,854

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786 : 13,854 = 13,854 : x
2. Step 2: Convert to fraction form
   9,786/13,854 = 13,854/x
3. Step 3: Cross multiply
   9,786x = 13,854 × 13,854
4. Step 4: Simplify right side
   9,786x = 191,933,316
5. Step 5: Solve for x
   x = 191,933,316/9,786
6. Step 6: Final answer
   x = 19,613.05