Finding the Third Proportional to 9,895.50 and 14,519.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,895.50 : 14,519.25 = 14,519.25 : x
2. Step 2: Convert to fraction form
   9,895.50/14,519.25 = 14,519.25/x
3. Step 3: Cross multiply
   9,895.50x = 14,519.25 × 14,519.25
4. Step 4: Simplify right side
   9,895.50x = 210,808,620.56
5. Step 5: Solve for x
   x = 210,808,620.56/9,895.50
6. Step 6: Final answer
   x = 21,303.48