Finding the Third Proportional to 38,177 and 57,684

Step by Step Solution

1. Step 1: Write the proportion equation
   38,177 : 57,684 = 57,684 : x
2. Step 2: Convert to fraction form
   38,177/57,684 = 57,684/x
3. Step 3: Cross multiply
   38,177x = 57,684 × 57,684
4. Step 4: Simplify right side
   38,177x = 3,327,443,856
5. Step 5: Solve for x
   x = 3,327,443,856/38,177
6. Step 6: Final answer
   x = 87,158.34