Finding the Third Proportional to 38,864 and 83,872

Step by Step Solution

1. Step 1: Write the proportion equation
   38,864 : 83,872 = 83,872 : x
2. Step 2: Convert to fraction form
   38,864/83,872 = 83,872/x
3. Step 3: Cross multiply
   38,864x = 83,872 × 83,872
4. Step 4: Simplify right side
   38,864x = 7,034,512,384
5. Step 5: Solve for x
   x = 7,034,512,384/38,864
6. Step 6: Final answer
   x = 181,003.30