Finding the Third Proportional to 17,778 and 41,952

Step by Step Solution

1. Step 1: Write the proportion equation
   17,778 : 41,952 = 41,952 : x
2. Step 2: Convert to fraction form
   17,778/41,952 = 41,952/x
3. Step 3: Cross multiply
   17,778x = 41,952 × 41,952
4. Step 4: Simplify right side
   17,778x = 1,759,970,304
5. Step 5: Solve for x
   x = 1,759,970,304/17,778
6. Step 6: Final answer
   x = 98,997.09