Finding the Third Proportional to 9,658 and 21,164

Step by Step Solution

1. Step 1: Write the proportion equation
   9,658 : 21,164 = 21,164 : x
2. Step 2: Convert to fraction form
   9,658/21,164 = 21,164/x
3. Step 3: Cross multiply
   9,658x = 21,164 × 21,164
4. Step 4: Simplify right side
   9,658x = 447,914,896
5. Step 5: Solve for x
   x = 447,914,896/9,658
6. Step 6: Final answer
   x = 46,377.60