Finding the Third Proportional to 11,520 and 24,648

Step by Step Solution

1. Step 1: Write the proportion equation
   11,520 : 24,648 = 24,648 : x
2. Step 2: Convert to fraction form
   11,520/24,648 = 24,648/x
3. Step 3: Cross multiply
   11,520x = 24,648 × 24,648
4. Step 4: Simplify right side
   11,520x = 607,523,904
5. Step 5: Solve for x
   x = 607,523,904/11,520
6. Step 6: Final answer
   x = 52,736.45