Finding the Third Proportional to 9,968 and 20,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,968 : 20,563.50 = 20,563.50 : x
2. Step 2: Convert to fraction form
   9,968/20,563.50 = 20,563.50/x
3. Step 3: Cross multiply
   9,968x = 20,563.50 × 20,563.50
4. Step 4: Simplify right side
   9,968x = 422,857,532.25
5. Step 5: Solve for x
   x = 422,857,532.25/9,968
6. Step 6: Final answer
   x = 42,421.50