Finding the Third Proportional to 9,666 and 21,090

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666 : 21,090 = 21,090 : x
2. Step 2: Convert to fraction form
   9,666/21,090 = 21,090/x
3. Step 3: Cross multiply
   9,666x = 21,090 × 21,090
4. Step 4: Simplify right side
   9,666x = 444,788,100
5. Step 5: Solve for x
   x = 444,788,100/9,666
6. Step 6: Final answer
   x = 46,015.74