Finding the Third Proportional to 51,870 and 82,341

Step by Step Solution

1. Step 1: Write the proportion equation
   51,870 : 82,341 = 82,341 : x
2. Step 2: Convert to fraction form
   51,870/82,341 = 82,341/x
3. Step 3: Cross multiply
   51,870x = 82,341 × 82,341
4. Step 4: Simplify right side
   51,870x = 6,780,040,281
5. Step 5: Solve for x
   x = 6,780,040,281/51,870
6. Step 6: Final answer
   x = 130,712.17