Finding the Third Proportional to 9,514 and 13,316

Step by Step Solution

1. Step 1: Write the proportion equation
   9,514 : 13,316 = 13,316 : x
2. Step 2: Convert to fraction form
   9,514/13,316 = 13,316/x
3. Step 3: Cross multiply
   9,514x = 13,316 × 13,316
4. Step 4: Simplify right side
   9,514x = 177,315,856
5. Step 5: Solve for x
   x = 177,315,856/9,514
6. Step 6: Final answer
   x = 18,637.36