Finding the Third Proportional to 11,780 and 21,724

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780 : 21,724 = 21,724 : x
2. Step 2: Convert to fraction form
   11,780/21,724 = 21,724/x
3. Step 3: Cross multiply
   11,780x = 21,724 × 21,724
4. Step 4: Simplify right side
   11,780x = 471,932,176
5. Step 5: Solve for x
   x = 471,932,176/11,780
6. Step 6: Final answer
   x = 40,062.15