Finding the Third Proportional to 35,138 and 82,942

Step by Step Solution

1. Step 1: Write the proportion equation
   35,138 : 82,942 = 82,942 : x
2. Step 2: Convert to fraction form
   35,138/82,942 = 82,942/x
3. Step 3: Cross multiply
   35,138x = 82,942 × 82,942
4. Step 4: Simplify right side
   35,138x = 6,879,375,364
5. Step 5: Solve for x
   x = 6,879,375,364/35,138
6. Step 6: Final answer
   x = 195,781.64