Finding the Third Proportional to 9,666 and 20,931

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666 : 20,931 = 20,931 : x
2. Step 2: Convert to fraction form
   9,666/20,931 = 20,931/x
3. Step 3: Cross multiply
   9,666x = 20,931 × 20,931
4. Step 4: Simplify right side
   9,666x = 438,106,761
5. Step 5: Solve for x
   x = 438,106,761/9,666
6. Step 6: Final answer
   x = 45,324.51