Finding the Third Proportional to 36,978 and 57,930

Step by Step Solution

1. Step 1: Write the proportion equation
   36,978 : 57,930 = 57,930 : x
2. Step 2: Convert to fraction form
   36,978/57,930 = 57,930/x
3. Step 3: Cross multiply
   36,978x = 57,930 × 57,930
4. Step 4: Simplify right side
   36,978x = 3,355,884,900
5. Step 5: Solve for x
   x = 3,355,884,900/36,978
6. Step 6: Final answer
   x = 90,753.55