Finding the Third Proportional to 16,696 and 35,824

Step by Step Solution

1. Step 1: Write the proportion equation
   16,696 : 35,824 = 35,824 : x
2. Step 2: Convert to fraction form
   16,696/35,824 = 35,824/x
3. Step 3: Cross multiply
   16,696x = 35,824 × 35,824
4. Step 4: Simplify right side
   16,696x = 1,283,358,976
5. Step 5: Solve for x
   x = 1,283,358,976/16,696
6. Step 6: Final answer
   x = 76,866.25