Finding the Third Proportional to 38,538 and 57,648

Step by Step Solution

1. Step 1: Write the proportion equation
   38,538 : 57,648 = 57,648 : x
2. Step 2: Convert to fraction form
   38,538/57,648 = 57,648/x
3. Step 3: Cross multiply
   38,538x = 57,648 × 57,648
4. Step 4: Simplify right side
   38,538x = 3,323,291,904
5. Step 5: Solve for x
   x = 3,323,291,904/38,538
6. Step 6: Final answer
   x = 86,234.16