Finding the Third Proportional to 9,196 and 12,786

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196 : 12,786 = 12,786 : x
2. Step 2: Convert to fraction form
   9,196/12,786 = 12,786/x
3. Step 3: Cross multiply
   9,196x = 12,786 × 12,786
4. Step 4: Simplify right side
   9,196x = 163,481,796
5. Step 5: Solve for x
   x = 163,481,796/9,196
6. Step 6: Final answer
   x = 17,777.49