Finding the Third Proportional to 11,336 and 17,164

Step by Step Solution

1. Step 1: Write the proportion equation
   11,336 : 17,164 = 17,164 : x
2. Step 2: Convert to fraction form
   11,336/17,164 = 17,164/x
3. Step 3: Cross multiply
   11,336x = 17,164 × 17,164
4. Step 4: Simplify right side
   11,336x = 294,602,896
5. Step 5: Solve for x
   x = 294,602,896/11,336
6. Step 6: Final answer
   x = 25,988.26