Finding the Third Proportional to 9,576 and 13,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,576 : 13,801.50 = 13,801.50 : x
2. Step 2: Convert to fraction form
   9,576/13,801.50 = 13,801.50/x
3. Step 3: Cross multiply
   9,576x = 13,801.50 × 13,801.50
4. Step 4: Simplify right side
   9,576x = 190,481,402.25
5. Step 5: Solve for x
   x = 190,481,402.25/9,576
6. Step 6: Final answer
   x = 19,891.54