Finding the Third Proportional to 38,978 and 57,008

Step by Step Solution

1. Step 1: Write the proportion equation
   38,978 : 57,008 = 57,008 : x
2. Step 2: Convert to fraction form
   38,978/57,008 = 57,008/x
3. Step 3: Cross multiply
   38,978x = 57,008 × 57,008
4. Step 4: Simplify right side
   38,978x = 3,249,912,064
5. Step 5: Solve for x
   x = 3,249,912,064/38,978
6. Step 6: Final answer
   x = 83,378.11