Finding the Third Proportional to 33,024 and 35,616

Step by Step Solution

1. Step 1: Write the proportion equation
   33,024 : 35,616 = 35,616 : x
2. Step 2: Convert to fraction form
   33,024/35,616 = 35,616/x
3. Step 3: Cross multiply
   33,024x = 35,616 × 35,616
4. Step 4: Simplify right side
   33,024x = 1,268,499,456
5. Step 5: Solve for x
   x = 1,268,499,456/33,024
6. Step 6: Final answer
   x = 38,411.44