Finding the Third Proportional to 39,648 and 57,983

Step by Step Solution

1. Step 1: Write the proportion equation
   39,648 : 57,983 = 57,983 : x
2. Step 2: Convert to fraction form
   39,648/57,983 = 57,983/x
3. Step 3: Cross multiply
   39,648x = 57,983 × 57,983
4. Step 4: Simplify right side
   39,648x = 3,362,028,289
5. Step 5: Solve for x
   x = 3,362,028,289/39,648
6. Step 6: Final answer
   x = 84,796.92