Finding the Third Proportional to 9,690 and 13,077

Step by Step Solution

1. Step 1: Write the proportion equation
   9,690 : 13,077 = 13,077 : x
2. Step 2: Convert to fraction form
   9,690/13,077 = 13,077/x
3. Step 3: Cross multiply
   9,690x = 13,077 × 13,077
4. Step 4: Simplify right side
   9,690x = 171,007,929
5. Step 5: Solve for x
   x = 171,007,929/9,690
6. Step 6: Final answer
   x = 17,647.88