Finding the Third Proportional to 16,505 and 35,640

Step by Step Solution

1. Step 1: Write the proportion equation
   16,505 : 35,640 = 35,640 : x
2. Step 2: Convert to fraction form
   16,505/35,640 = 35,640/x
3. Step 3: Cross multiply
   16,505x = 35,640 × 35,640
4. Step 4: Simplify right side
   16,505x = 1,270,209,600
5. Step 5: Solve for x
   x = 1,270,209,600/16,505
6. Step 6: Final answer
   x = 76,959.08