Finding the Third Proportional to 36,778 and 55,155

Step by Step Solution

1. Step 1: Write the proportion equation
   36,778 : 55,155 = 55,155 : x
2. Step 2: Convert to fraction form
   36,778/55,155 = 55,155/x
3. Step 3: Cross multiply
   36,778x = 55,155 × 55,155
4. Step 4: Simplify right side
   36,778x = 3,042,074,025
5. Step 5: Solve for x
   x = 3,042,074,025/36,778
6. Step 6: Final answer
   x = 82,714.50