Finding the Third Proportional to 21,357 and 46,871

Step by Step Solution

1. Step 1: Write the proportion equation
   21,357 : 46,871 = 46,871 : x
2. Step 2: Convert to fraction form
   21,357/46,871 = 46,871/x
3. Step 3: Cross multiply
   21,357x = 46,871 × 46,871
4. Step 4: Simplify right side
   21,357x = 2,196,890,641
5. Step 5: Solve for x
   x = 2,196,890,641/21,357
6. Step 6: Final answer
   x = 102,865.13