Finding the Third Proportional to 10,778 and 23,822

Step by Step Solution

1. Step 1: Write the proportion equation
   10,778 : 23,822 = 23,822 : x
2. Step 2: Convert to fraction form
   10,778/23,822 = 23,822/x
3. Step 3: Cross multiply
   10,778x = 23,822 × 23,822
4. Step 4: Simplify right side
   10,778x = 567,487,684
5. Step 5: Solve for x
   x = 567,487,684/10,778
6. Step 6: Final answer
   x = 52,652.41