Finding the Third Proportional to 20,563.50 and 31,396.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,563.50 : 31,396.50 = 31,396.50 : x
2. Step 2: Convert to fraction form
   20,563.50/31,396.50 = 31,396.50/x
3. Step 3: Cross multiply
   20,563.50x = 31,396.50 × 31,396.50
4. Step 4: Simplify right side
   20,563.50x = 985,740,212.25
5. Step 5: Solve for x
   x = 985,740,212.25/20,563.50
6. Step 6: Final answer
   x = 47,936.40