Finding the Third Proportional to 35,338 and 76,920

Step by Step Solution

1. Step 1: Write the proportion equation
   35,338 : 76,920 = 76,920 : x
2. Step 2: Convert to fraction form
   35,338/76,920 = 76,920/x
3. Step 3: Cross multiply
   35,338x = 76,920 × 76,920
4. Step 4: Simplify right side
   35,338x = 5,916,686,400
5. Step 5: Solve for x
   x = 5,916,686,400/35,338
6. Step 6: Final answer
   x = 167,431.28