Finding the Third Proportional to 21,856 and 46,898

Step by Step Solution

1. Step 1: Write the proportion equation
   21,856 : 46,898 = 46,898 : x
2. Step 2: Convert to fraction form
   21,856/46,898 = 46,898/x
3. Step 3: Cross multiply
   21,856x = 46,898 × 46,898
4. Step 4: Simplify right side
   21,856x = 2,199,422,404
5. Step 5: Solve for x
   x = 2,199,422,404/21,856
6. Step 6: Final answer
   x = 100,632.43