Finding the Third Proportional to 9,844 and 17,672

Step by Step Solution

1. Step 1: Write the proportion equation
   9,844 : 17,672 = 17,672 : x
2. Step 2: Convert to fraction form
   9,844/17,672 = 17,672/x
3. Step 3: Cross multiply
   9,844x = 17,672 × 17,672
4. Step 4: Simplify right side
   9,844x = 312,299,584
5. Step 5: Solve for x
   x = 312,299,584/9,844
6. Step 6: Final answer
   x = 31,724.87