Finding the Third Proportional to 23,200 and 35,824

Step by Step Solution

1. Step 1: Write the proportion equation
   23,200 : 35,824 = 35,824 : x
2. Step 2: Convert to fraction form
   23,200/35,824 = 35,824/x
3. Step 3: Cross multiply
   23,200x = 35,824 × 35,824
4. Step 4: Simplify right side
   23,200x = 1,283,358,976
5. Step 5: Solve for x
   x = 1,283,358,976/23,200
6. Step 6: Final answer
   x = 55,317.20