Finding the Third Proportional to 17,778 and 38,778

Step by Step Solution

1. Step 1: Write the proportion equation
   17,778 : 38,778 = 38,778 : x
2. Step 2: Convert to fraction form
   17,778/38,778 = 38,778/x
3. Step 3: Cross multiply
   17,778x = 38,778 × 38,778
4. Step 4: Simplify right side
   17,778x = 1,503,733,284
5. Step 5: Solve for x
   x = 1,503,733,284/17,778
6. Step 6: Final answer
   x = 84,583.94