Finding the Third Proportional to 9,793 and 17,641

Step by Step Solution

1. Step 1: Write the proportion equation
   9,793 : 17,641 = 17,641 : x
2. Step 2: Convert to fraction form
   9,793/17,641 = 17,641/x
3. Step 3: Cross multiply
   9,793x = 17,641 × 17,641
4. Step 4: Simplify right side
   9,793x = 311,204,881
5. Step 5: Solve for x
   x = 311,204,881/9,793
6. Step 6: Final answer
   x = 31,778.30