Finding the Third Proportional to 21,171 and 46,662

Step by Step Solution

1. Step 1: Write the proportion equation
   21,171 : 46,662 = 46,662 : x
2. Step 2: Convert to fraction form
   21,171/46,662 = 46,662/x
3. Step 3: Cross multiply
   21,171x = 46,662 × 46,662
4. Step 4: Simplify right side
   21,171x = 2,177,342,244
5. Step 5: Solve for x
   x = 2,177,342,244/21,171
6. Step 6: Final answer
   x = 102,845.51