Finding the Third Proportional to 35,109 and 66,978

Step by Step Solution

1. Step 1: Write the proportion equation
   35,109 : 66,978 = 66,978 : x
2. Step 2: Convert to fraction form
   35,109/66,978 = 66,978/x
3. Step 3: Cross multiply
   35,109x = 66,978 × 66,978
4. Step 4: Simplify right side
   35,109x = 4,486,052,484
5. Step 5: Solve for x
   x = 4,486,052,484/35,109
6. Step 6: Final answer
   x = 127,775.00