Finding the Third Proportional to 35,968 and 77,388

Step by Step Solution

1. Step 1: Write the proportion equation
   35,968 : 77,388 = 77,388 : x
2. Step 2: Convert to fraction form
   35,968/77,388 = 77,388/x
3. Step 3: Cross multiply
   35,968x = 77,388 × 77,388
4. Step 4: Simplify right side
   35,968x = 5,988,902,544
5. Step 5: Solve for x
   x = 5,988,902,544/35,968
6. Step 6: Final answer
   x = 166,506.41