Finding the Third Proportional to 38,179 and 57,687

Step by Step Solution

1. Step 1: Write the proportion equation
   38,179 : 57,687 = 57,687 : x
2. Step 2: Convert to fraction form
   38,179/57,687 = 57,687/x
3. Step 3: Cross multiply
   38,179x = 57,687 × 57,687
4. Step 4: Simplify right side
   38,179x = 3,327,789,969
5. Step 5: Solve for x
   x = 3,327,789,969/38,179
6. Step 6: Final answer
   x = 87,162.84