Finding the Third Proportional to 9,469.50 and 13,862.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,469.50 : 13,862.25 = 13,862.25 : x
2. Step 2: Convert to fraction form
   9,469.50/13,862.25 = 13,862.25/x
3. Step 3: Cross multiply
   9,469.50x = 13,862.25 × 13,862.25
4. Step 4: Simplify right side
   9,469.50x = 192,161,975.06
5. Step 5: Solve for x
   x = 192,161,975.06/9,469.50
6. Step 6: Final answer
   x = 20,292.73