Finding the Third Proportional to 33,952 and 52,870

Step by Step Solution

1. Step 1: Write the proportion equation
   33,952 : 52,870 = 52,870 : x
2. Step 2: Convert to fraction form
   33,952/52,870 = 52,870/x
3. Step 3: Cross multiply
   33,952x = 52,870 × 52,870
4. Step 4: Simplify right side
   33,952x = 2,795,236,900
5. Step 5: Solve for x
   x = 2,795,236,900/33,952
6. Step 6: Final answer
   x = 82,329.08