Finding the Third Proportional to 38,823.38 and 54,942.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,823.38 : 54,942.75 = 54,942.75 : x
2. Step 2: Convert to fraction form
   38,823.38/54,942.75 = 54,942.75/x
3. Step 3: Cross multiply
   38,823.38x = 54,942.75 × 54,942.75
4. Step 4: Simplify right side
   38,823.38x = 3,018,705,777.56
5. Step 5: Solve for x
   x = 3,018,705,777.56/38,823.38
6. Step 6: Final answer
   x = 77,754.85