Finding the Third Proportional to 9,649 and 13,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,649 : 13,969.50 = 13,969.50 : x
2. Step 2: Convert to fraction form
   9,649/13,969.50 = 13,969.50/x
3. Step 3: Cross multiply
   9,649x = 13,969.50 × 13,969.50
4. Step 4: Simplify right side
   9,649x = 195,146,930.25
5. Step 5: Solve for x
   x = 195,146,930.25/9,649
6. Step 6: Final answer
   x = 20,224.58