Finding the Third Proportional to 9,774 and 13,107

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774 : 13,107 = 13,107 : x
2. Step 2: Convert to fraction form
   9,774/13,107 = 13,107/x
3. Step 3: Cross multiply
   9,774x = 13,107 × 13,107
4. Step 4: Simplify right side
   9,774x = 171,793,449
5. Step 5: Solve for x
   x = 171,793,449/9,774
6. Step 6: Final answer
   x = 17,576.58