Finding the Third Proportional to 11,782 and 24,774

Step by Step Solution

1. Step 1: Write the proportion equation
   11,782 : 24,774 = 24,774 : x
2. Step 2: Convert to fraction form
   11,782/24,774 = 24,774/x
3. Step 3: Cross multiply
   11,782x = 24,774 × 24,774
4. Step 4: Simplify right side
   11,782x = 613,751,076
5. Step 5: Solve for x
   x = 613,751,076/11,782
6. Step 6: Final answer
   x = 52,092.27