Finding the Third Proportional to 9,188 and 10,016

Step by Step Solution

1. Step 1: Write the proportion equation
   9,188 : 10,016 = 10,016 : x
2. Step 2: Convert to fraction form
   9,188/10,016 = 10,016/x
3. Step 3: Cross multiply
   9,188x = 10,016 × 10,016
4. Step 4: Simplify right side
   9,188x = 100,320,256
5. Step 5: Solve for x
   x = 100,320,256/9,188
6. Step 6: Final answer
   x = 10,918.62