Finding the Third Proportional to 33,824 and 53,058

Step by Step Solution

1. Step 1: Write the proportion equation
   33,824 : 53,058 = 53,058 : x
2. Step 2: Convert to fraction form
   33,824/53,058 = 53,058/x
3. Step 3: Cross multiply
   33,824x = 53,058 × 53,058
4. Step 4: Simplify right side
   33,824x = 2,815,151,364
5. Step 5: Solve for x
   x = 2,815,151,364/33,824
6. Step 6: Final answer
   x = 83,229.40