Finding the Third Proportional to 35,997 and 76,911

Step by Step Solution

1. Step 1: Write the proportion equation
   35,997 : 76,911 = 76,911 : x
2. Step 2: Convert to fraction form
   35,997/76,911 = 76,911/x
3. Step 3: Cross multiply
   35,997x = 76,911 × 76,911
4. Step 4: Simplify right side
   35,997x = 5,915,301,921
5. Step 5: Solve for x
   x = 5,915,301,921/35,997
6. Step 6: Final answer
   x = 164,327.64