Finding the Third Proportional to 10,191 and 21,669

Step by Step Solution

1. Step 1: Write the proportion equation
   10,191 : 21,669 = 21,669 : x
2. Step 2: Convert to fraction form
   10,191/21,669 = 21,669/x
3. Step 3: Cross multiply
   10,191x = 21,669 × 21,669
4. Step 4: Simplify right side
   10,191x = 469,545,561
5. Step 5: Solve for x
   x = 469,545,561/10,191
6. Step 6: Final answer
   x = 46,074.53