Finding the Third Proportional to 9,693 and 13,142.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,693 : 13,142.25 = 13,142.25 : x
2. Step 2: Convert to fraction form
   9,693/13,142.25 = 13,142.25/x
3. Step 3: Cross multiply
   9,693x = 13,142.25 × 13,142.25
4. Step 4: Simplify right side
   9,693x = 172,718,735.06
5. Step 5: Solve for x
   x = 172,718,735.06/9,693
6. Step 6: Final answer
   x = 17,818.91