Finding the Third Proportional to 8,196.75 and 17,969.63

Step by Step Solution

1. Step 1: Write the proportion equation
   8,196.75 : 17,969.63 = 17,969.63 : x
2. Step 2: Convert to fraction form
   8,196.75/17,969.63 = 17,969.63/x
3. Step 3: Cross multiply
   8,196.75x = 17,969.63 × 17,969.63
4. Step 4: Simplify right side
   8,196.75x = 322,907,422.64
5. Step 5: Solve for x
   x = 322,907,422.64/8,196.75
6. Step 6: Final answer
   x = 39,394.57