Finding the Third Proportional to 9,836 and 21,672

Step by Step Solution

1. Step 1: Write the proportion equation
   9,836 : 21,672 = 21,672 : x
2. Step 2: Convert to fraction form
   9,836/21,672 = 21,672/x
3. Step 3: Cross multiply
   9,836x = 21,672 × 21,672
4. Step 4: Simplify right side
   9,836x = 469,675,584
5. Step 5: Solve for x
   x = 469,675,584/9,836
6. Step 6: Final answer
   x = 47,750.67