Finding the Third Proportional to 11,822 and 24,250

Step by Step Solution

1. Step 1: Write the proportion equation
   11,822 : 24,250 = 24,250 : x
2. Step 2: Convert to fraction form
   11,822/24,250 = 24,250/x
3. Step 3: Cross multiply
   11,822x = 24,250 × 24,250
4. Step 4: Simplify right side
   11,822x = 588,062,500
5. Step 5: Solve for x
   x = 588,062,500/11,822
6. Step 6: Final answer
   x = 49,743.06