Finding the Third Proportional to 9,569.50 and 13,976.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,569.50 : 13,976.25 = 13,976.25 : x
2. Step 2: Convert to fraction form
   9,569.50/13,976.25 = 13,976.25/x
3. Step 3: Cross multiply
   9,569.50x = 13,976.25 × 13,976.25
4. Step 4: Simplify right side
   9,569.50x = 195,335,564.06
5. Step 5: Solve for x
   x = 195,335,564.06/9,569.50
6. Step 6: Final answer
   x = 20,412.31