Finding the Third Proportional to 33,065 and 51,057

Step by Step Solution

1. Step 1: Write the proportion equation
   33,065 : 51,057 = 51,057 : x
2. Step 2: Convert to fraction form
   33,065/51,057 = 51,057/x
3. Step 3: Cross multiply
   33,065x = 51,057 × 51,057
4. Step 4: Simplify right side
   33,065x = 2,606,817,249
5. Step 5: Solve for x
   x = 2,606,817,249/33,065
6. Step 6: Final answer
   x = 78,839.17