Finding the Third Proportional to 9,509.25 and 13,994.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,509.25 : 13,994.63 = 13,994.63 : x
2. Step 2: Convert to fraction form
   9,509.25/13,994.63 = 13,994.63/x
3. Step 3: Cross multiply
   9,509.25x = 13,994.63 × 13,994.63
4. Step 4: Simplify right side
   9,509.25x = 195,849,528.89
5. Step 5: Solve for x
   x = 195,849,528.89/9,509.25
6. Step 6: Final answer
   x = 20,595.69