Finding the Third Proportional to 9,792 and 13,984.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,792 : 13,984.50 = 13,984.50 : x
2. Step 2: Convert to fraction form
   9,792/13,984.50 = 13,984.50/x
3. Step 3: Cross multiply
   9,792x = 13,984.50 × 13,984.50
4. Step 4: Simplify right side
   9,792x = 195,566,240.25
5. Step 5: Solve for x
   x = 195,566,240.25/9,792
6. Step 6: Final answer
   x = 19,972.04