Finding the Third Proportional to 9,156 and 13,311

Step by Step Solution

1. Step 1: Write the proportion equation
   9,156 : 13,311 = 13,311 : x
2. Step 2: Convert to fraction form
   9,156/13,311 = 13,311/x
3. Step 3: Cross multiply
   9,156x = 13,311 × 13,311
4. Step 4: Simplify right side
   9,156x = 177,182,721
5. Step 5: Solve for x
   x = 177,182,721/9,156
6. Step 6: Final answer
   x = 19,351.54