Finding the Third Proportional to 9,916 and 13,228

Step by Step Solution

1. Step 1: Write the proportion equation
   9,916 : 13,228 = 13,228 : x
2. Step 2: Convert to fraction form
   9,916/13,228 = 13,228/x
3. Step 3: Cross multiply
   9,916x = 13,228 × 13,228
4. Step 4: Simplify right side
   9,916x = 174,979,984
5. Step 5: Solve for x
   x = 174,979,984/9,916
6. Step 6: Final answer
   x = 17,646.23