Finding the Third Proportional to 9,664 and 13,786

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664 : 13,786 = 13,786 : x
2. Step 2: Convert to fraction form
   9,664/13,786 = 13,786/x
3. Step 3: Cross multiply
   9,664x = 13,786 × 13,786
4. Step 4: Simplify right side
   9,664x = 190,053,796
5. Step 5: Solve for x
   x = 190,053,796/9,664
6. Step 6: Final answer
   x = 19,666.16