Finding the Third Proportional to 35,634 and 76,978

Step by Step Solution

1. Step 1: Write the proportion equation
   35,634 : 76,978 = 76,978 : x
2. Step 2: Convert to fraction form
   35,634/76,978 = 76,978/x
3. Step 3: Cross multiply
   35,634x = 76,978 × 76,978
4. Step 4: Simplify right side
   35,634x = 5,925,612,484
5. Step 5: Solve for x
   x = 5,925,612,484/35,634
6. Step 6: Final answer
   x = 166,290.97