Finding the Third Proportional to 10,222.50 and 13,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.50 : 13,909.50 = 13,909.50 : x
2. Step 2: Convert to fraction form
   10,222.50/13,909.50 = 13,909.50/x
3. Step 3: Cross multiply
   10,222.50x = 13,909.50 × 13,909.50
4. Step 4: Simplify right side
   10,222.50x = 193,474,190.25
5. Step 5: Solve for x
   x = 193,474,190.25/10,222.50
6. Step 6: Final answer
   x = 18,926.31