Finding the Third Proportional to 21,856 and 35,872

Step by Step Solution

1. Step 1: Write the proportion equation
   21,856 : 35,872 = 35,872 : x
2. Step 2: Convert to fraction form
   21,856/35,872 = 35,872/x
3. Step 3: Cross multiply
   21,856x = 35,872 × 35,872
4. Step 4: Simplify right side
   21,856x = 1,286,800,384
5. Step 5: Solve for x
   x = 1,286,800,384/21,856
6. Step 6: Final answer
   x = 58,876.30