Finding the Third Proportional to 39,124 and 83,096

Step by Step Solution

1. Step 1: Write the proportion equation
   39,124 : 83,096 = 83,096 : x
2. Step 2: Convert to fraction form
   39,124/83,096 = 83,096/x
3. Step 3: Cross multiply
   39,124x = 83,096 × 83,096
4. Step 4: Simplify right side
   39,124x = 6,904,945,216
5. Step 5: Solve for x
   x = 6,904,945,216/39,124
6. Step 6: Final answer
   x = 176,488.73