Finding the Third Proportional to 11,164 and 23,054

Step by Step Solution

1. Step 1: Write the proportion equation
   11,164 : 23,054 = 23,054 : x
2. Step 2: Convert to fraction form
   11,164/23,054 = 23,054/x
3. Step 3: Cross multiply
   11,164x = 23,054 × 23,054
4. Step 4: Simplify right side
   11,164x = 531,486,916
5. Step 5: Solve for x
   x = 531,486,916/11,164
6. Step 6: Final answer
   x = 47,607.21