Finding the Third Proportional to 17,778 and 38,736

Step by Step Solution

1. Step 1: Write the proportion equation
   17,778 : 38,736 = 38,736 : x
2. Step 2: Convert to fraction form
   17,778/38,736 = 38,736/x
3. Step 3: Cross multiply
   17,778x = 38,736 × 38,736
4. Step 4: Simplify right side
   17,778x = 1,500,477,696
5. Step 5: Solve for x
   x = 1,500,477,696/17,778
6. Step 6: Final answer
   x = 84,400.82