Finding the Third Proportional to 38,067 and 55,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,067 : 55,942.50 = 55,942.50 : x
2. Step 2: Convert to fraction form
   38,067/55,942.50 = 55,942.50/x
3. Step 3: Cross multiply
   38,067x = 55,942.50 × 55,942.50
4. Step 4: Simplify right side
   38,067x = 3,129,563,306.25
5. Step 5: Solve for x
   x = 3,129,563,306.25/38,067
6. Step 6: Final answer
   x = 82,211.98