Finding the Third Proportional to 33,538 and 53,062

Step by Step Solution

1. Step 1: Write the proportion equation
   33,538 : 53,062 = 53,062 : x
2. Step 2: Convert to fraction form
   33,538/53,062 = 53,062/x
3. Step 3: Cross multiply
   33,538x = 53,062 × 53,062
4. Step 4: Simplify right side
   33,538x = 2,815,575,844
5. Step 5: Solve for x
   x = 2,815,575,844/33,538
6. Step 6: Final answer
   x = 83,951.81