Finding the Third Proportional to 13,164 and 19,055

Step by Step Solution

1. Step 1: Write the proportion equation
   13,164 : 19,055 = 19,055 : x
2. Step 2: Convert to fraction form
   13,164/19,055 = 19,055/x
3. Step 3: Cross multiply
   13,164x = 19,055 × 19,055
4. Step 4: Simplify right side
   13,164x = 363,093,025
5. Step 5: Solve for x
   x = 363,093,025/13,164
6. Step 6: Final answer
   x = 27,582.27