Finding the Third Proportional to 9,776 and 13,116

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776 : 13,116 = 13,116 : x
2. Step 2: Convert to fraction form
   9,776/13,116 = 13,116/x
3. Step 3: Cross multiply
   9,776x = 13,116 × 13,116
4. Step 4: Simplify right side
   9,776x = 172,029,456
5. Step 5: Solve for x
   x = 172,029,456/9,776
6. Step 6: Final answer
   x = 17,597.12