Finding the Third Proportional to 33,770 and 52,059

Step by Step Solution

1. Step 1: Write the proportion equation
   33,770 : 52,059 = 52,059 : x
2. Step 2: Convert to fraction form
   33,770/52,059 = 52,059/x
3. Step 3: Cross multiply
   33,770x = 52,059 × 52,059
4. Step 4: Simplify right side
   33,770x = 2,710,139,481
5. Step 5: Solve for x
   x = 2,710,139,481/33,770
6. Step 6: Final answer
   x = 80,252.87