Finding the Third Proportional to 34,065 and 52,869

Step by Step Solution

1. Step 1: Write the proportion equation
   34,065 : 52,869 = 52,869 : x
2. Step 2: Convert to fraction form
   34,065/52,869 = 52,869/x
3. Step 3: Cross multiply
   34,065x = 52,869 × 52,869
4. Step 4: Simplify right side
   34,065x = 2,795,131,161
5. Step 5: Solve for x
   x = 2,795,131,161/34,065
6. Step 6: Final answer
   x = 82,052.87