Finding the Third Proportional to 35,010 and 76,824

Step by Step Solution

1. Step 1: Write the proportion equation
   35,010 : 76,824 = 76,824 : x
2. Step 2: Convert to fraction form
   35,010/76,824 = 76,824/x
3. Step 3: Cross multiply
   35,010x = 76,824 × 76,824
4. Step 4: Simplify right side
   35,010x = 5,901,926,976
5. Step 5: Solve for x
   x = 5,901,926,976/35,010
6. Step 6: Final answer
   x = 168,578.32