Finding the Third Proportional to 11,642 and 23,822

Step by Step Solution

1. Step 1: Write the proportion equation
   11,642 : 23,822 = 23,822 : x
2. Step 2: Convert to fraction form
   11,642/23,822 = 23,822/x
3. Step 3: Cross multiply
   11,642x = 23,822 × 23,822
4. Step 4: Simplify right side
   11,642x = 567,487,684
5. Step 5: Solve for x
   x = 567,487,684/11,642
6. Step 6: Final answer
   x = 48,744.86