Finding the Third Proportional to 35,856 and 75,978

Step by Step Solution

1. Step 1: Write the proportion equation
   35,856 : 75,978 = 75,978 : x
2. Step 2: Convert to fraction form
   35,856/75,978 = 75,978/x
3. Step 3: Cross multiply
   35,856x = 75,978 × 75,978
4. Step 4: Simplify right side
   35,856x = 5,772,656,484
5. Step 5: Solve for x
   x = 5,772,656,484/35,856
6. Step 6: Final answer
   x = 160,995.55