Finding the Third Proportional to 52,857 and 82,019

Step by Step Solution

1. Step 1: Write the proportion equation
   52,857 : 82,019 = 82,019 : x
2. Step 2: Convert to fraction form
   52,857/82,019 = 82,019/x
3. Step 3: Cross multiply
   52,857x = 82,019 × 82,019
4. Step 4: Simplify right side
   52,857x = 6,727,116,361
5. Step 5: Solve for x
   x = 6,727,116,361/52,857
6. Step 6: Final answer
   x = 127,270.11