Finding the Third Proportional to 17,778 and 27,732

Step by Step Solution

1. Step 1: Write the proportion equation
   17,778 : 27,732 = 27,732 : x
2. Step 2: Convert to fraction form
   17,778/27,732 = 27,732/x
3. Step 3: Cross multiply
   17,778x = 27,732 × 27,732
4. Step 4: Simplify right side
   17,778x = 769,063,824
5. Step 5: Solve for x
   x = 769,063,824/17,778
6. Step 6: Final answer
   x = 43,259.30