Finding the Third Proportional to 11,556 and 24,648

Step by Step Solution

1. Step 1: Write the proportion equation
   11,556 : 24,648 = 24,648 : x
2. Step 2: Convert to fraction form
   11,556/24,648 = 24,648/x
3. Step 3: Cross multiply
   11,556x = 24,648 × 24,648
4. Step 4: Simplify right side
   11,556x = 607,523,904
5. Step 5: Solve for x
   x = 607,523,904/11,556
6. Step 6: Final answer
   x = 52,572.16