Finding the Third Proportional to 17,824 and 35,720

Step by Step Solution

1. Step 1: Write the proportion equation
   17,824 : 35,720 = 35,720 : x
2. Step 2: Convert to fraction form
   17,824/35,720 = 35,720/x
3. Step 3: Cross multiply
   17,824x = 35,720 × 35,720
4. Step 4: Simplify right side
   17,824x = 1,275,918,400
5. Step 5: Solve for x
   x = 1,275,918,400/17,824
6. Step 6: Final answer
   x = 71,584.29