Finding the Third Proportional to 23,770 and 36,978

Step by Step Solution

1. Step 1: Write the proportion equation
   23,770 : 36,978 = 36,978 : x
2. Step 2: Convert to fraction form
   23,770/36,978 = 36,978/x
3. Step 3: Cross multiply
   23,770x = 36,978 × 36,978
4. Step 4: Simplify right side
   23,770x = 1,367,372,484
5. Step 5: Solve for x
   x = 1,367,372,484/23,770
6. Step 6: Final answer
   x = 57,525.14