Finding the Third Proportional to 32,841 and 52,010

Step by Step Solution

1. Step 1: Write the proportion equation
   32,841 : 52,010 = 52,010 : x
2. Step 2: Convert to fraction form
   32,841/52,010 = 52,010/x
3. Step 3: Cross multiply
   32,841x = 52,010 × 52,010
4. Step 4: Simplify right side
   32,841x = 2,705,040,100
5. Step 5: Solve for x
   x = 2,705,040,100/32,841
6. Step 6: Final answer
   x = 82,367.78