Finding the Third Proportional to 9,793.50 and 17,643

Step by Step Solution

1. Step 1: Write the proportion equation
   9,793.50 : 17,643 = 17,643 : x
2. Step 2: Convert to fraction form
   9,793.50/17,643 = 17,643/x
3. Step 3: Cross multiply
   9,793.50x = 17,643 × 17,643
4. Step 4: Simplify right side
   9,793.50x = 311,275,449
5. Step 5: Solve for x
   x = 311,275,449/9,793.50
6. Step 6: Final answer
   x = 31,783.88