Finding the Third Proportional to 33,538 and 53,271

Step by Step Solution

1. Step 1: Write the proportion equation
   33,538 : 53,271 = 53,271 : x
2. Step 2: Convert to fraction form
   33,538/53,271 = 53,271/x
3. Step 3: Cross multiply
   33,538x = 53,271 × 53,271
4. Step 4: Simplify right side
   33,538x = 2,837,799,441
5. Step 5: Solve for x
   x = 2,837,799,441/33,538
6. Step 6: Final answer
   x = 84,614.45