Finding the Third Proportional to 11,780 and 24,516

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780 : 24,516 = 24,516 : x
2. Step 2: Convert to fraction form
   11,780/24,516 = 24,516/x
3. Step 3: Cross multiply
   11,780x = 24,516 × 24,516
4. Step 4: Simplify right side
   11,780x = 601,034,256
5. Step 5: Solve for x
   x = 601,034,256/11,780
6. Step 6: Final answer
   x = 51,021.58