Finding the Third Proportional to 9,468 and 20,646

Step by Step Solution

1. Step 1: Write the proportion equation
   9,468 : 20,646 = 20,646 : x
2. Step 2: Convert to fraction form
   9,468/20,646 = 20,646/x
3. Step 3: Cross multiply
   9,468x = 20,646 × 20,646
4. Step 4: Simplify right side
   9,468x = 426,257,316
5. Step 5: Solve for x
   x = 426,257,316/9,468
6. Step 6: Final answer
   x = 45,020.84