Finding the Third Proportional to 9,538 and 14,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538 : 14,768.50 = 14,768.50 : x
2. Step 2: Convert to fraction form
   9,538/14,768.50 = 14,768.50/x
3. Step 3: Cross multiply
   9,538x = 14,768.50 × 14,768.50
4. Step 4: Simplify right side
   9,538x = 218,108,592.25
5. Step 5: Solve for x
   x = 218,108,592.25/9,538
6. Step 6: Final answer
   x = 22,867.33