Finding the Third Proportional to 11,164 and 19,014

Step by Step Solution

1. Step 1: Write the proportion equation
   11,164 : 19,014 = 19,014 : x
2. Step 2: Convert to fraction form
   11,164/19,014 = 19,014/x
3. Step 3: Cross multiply
   11,164x = 19,014 × 19,014
4. Step 4: Simplify right side
   11,164x = 361,532,196
5. Step 5: Solve for x
   x = 361,532,196/11,164
6. Step 6: Final answer
   x = 32,383.75