Finding the Third Proportional to 33,816 and 53,044

Step by Step Solution

1. Step 1: Write the proportion equation
   33,816 : 53,044 = 53,044 : x
2. Step 2: Convert to fraction form
   33,816/53,044 = 53,044/x
3. Step 3: Cross multiply
   33,816x = 53,044 × 53,044
4. Step 4: Simplify right side
   33,816x = 2,813,665,936
5. Step 5: Solve for x
   x = 2,813,665,936/33,816
6. Step 6: Final answer
   x = 83,205.17