Finding the Third Proportional to 11,563.50 and 23,671.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,563.50 : 23,671.50 = 23,671.50 : x
2. Step 2: Convert to fraction form
   11,563.50/23,671.50 = 23,671.50/x
3. Step 3: Cross multiply
   11,563.50x = 23,671.50 × 23,671.50
4. Step 4: Simplify right side
   11,563.50x = 560,339,912.25
5. Step 5: Solve for x
   x = 560,339,912.25/11,563.50
6. Step 6: Final answer
   x = 48,457.64