Finding the Third Proportional to 38,024 and 57,036

Step by Step Solution

1. Step 1: Write the proportion equation
   38,024 : 57,036 = 57,036 : x
2. Step 2: Convert to fraction form
   38,024/57,036 = 57,036/x
3. Step 3: Cross multiply
   38,024x = 57,036 × 57,036
4. Step 4: Simplify right side
   38,024x = 3,253,105,296
5. Step 5: Solve for x
   x = 3,253,105,296/38,024
6. Step 6: Final answer
   x = 85,554