Finding the Third Proportional to 33,540 and 53,065

Step by Step Solution

1. Step 1: Write the proportion equation
   33,540 : 53,065 = 53,065 : x
2. Step 2: Convert to fraction form
   33,540/53,065 = 53,065/x
3. Step 3: Cross multiply
   33,540x = 53,065 × 53,065
4. Step 4: Simplify right side
   33,540x = 2,815,894,225
5. Step 5: Solve for x
   x = 2,815,894,225/33,540
6. Step 6: Final answer
   x = 83,956.30