Finding the Third Proportional to 9,914 and 13,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914 : 13,458.50 = 13,458.50 : x
2. Step 2: Convert to fraction form
   9,914/13,458.50 = 13,458.50/x
3. Step 3: Cross multiply
   9,914x = 13,458.50 × 13,458.50
4. Step 4: Simplify right side
   9,914x = 181,131,222.25
5. Step 5: Solve for x
   x = 181,131,222.25/9,914
6. Step 6: Final answer
   x = 18,270.25