Finding the Third Proportional to 35,845 and 77,978

Step by Step Solution

1. Step 1: Write the proportion equation
   35,845 : 77,978 = 77,978 : x
2. Step 2: Convert to fraction form
   35,845/77,978 = 77,978/x
3. Step 3: Cross multiply
   35,845x = 77,978 × 77,978
4. Step 4: Simplify right side
   35,845x = 6,080,568,484
5. Step 5: Solve for x
   x = 6,080,568,484/35,845
6. Step 6: Final answer
   x = 169,635.05