Finding the Third Proportional to 9,421.50 and 14,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,421.50 : 14,227.50 = 14,227.50 : x
2. Step 2: Convert to fraction form
   9,421.50/14,227.50 = 14,227.50/x
3. Step 3: Cross multiply
   9,421.50x = 14,227.50 × 14,227.50
4. Step 4: Simplify right side
   9,421.50x = 202,421,756.25
5. Step 5: Solve for x
   x = 202,421,756.25/9,421.50
6. Step 6: Final answer
   x = 21,485.09