Finding the Third Proportional to 21,144 and 46,251

Step by Step Solution

1. Step 1: Write the proportion equation
   21,144 : 46,251 = 46,251 : x
2. Step 2: Convert to fraction form
   21,144/46,251 = 46,251/x
3. Step 3: Cross multiply
   21,144x = 46,251 × 46,251
4. Step 4: Simplify right side
   21,144x = 2,139,155,001
5. Step 5: Solve for x
   x = 2,139,155,001/21,144
6. Step 6: Final answer
   x = 101,170.78