Finding the Third Proportional to 11,556 and 19,078

Step by Step Solution

1. Step 1: Write the proportion equation
   11,556 : 19,078 = 19,078 : x
2. Step 2: Convert to fraction form
   11,556/19,078 = 19,078/x
3. Step 3: Cross multiply
   11,556x = 19,078 × 19,078
4. Step 4: Simplify right side
   11,556x = 363,970,084
5. Step 5: Solve for x
   x = 363,970,084/11,556
6. Step 6: Final answer
   x = 31,496.20