Finding the Third Proportional to 12,190.50 and 19,569.09

Step by Step Solution

1. Step 1: Write the proportion equation
   12,190.50 : 19,569.09 = 19,569.09 : x
2. Step 2: Convert to fraction form
   12,190.50/19,569.09 = 19,569.09/x
3. Step 3: Cross multiply
   12,190.50x = 19,569.09 × 19,569.09
4. Step 4: Simplify right side
   12,190.50x = 382,949,430.20
5. Step 5: Solve for x
   x = 382,949,430.20/12,190.50
6. Step 6: Final answer
   x = 31,413.76