Finding the Third Proportional to 9,750 and 13,185

Step by Step Solution

1. Step 1: Write the proportion equation
   9,750 : 13,185 = 13,185 : x
2. Step 2: Convert to fraction form
   9,750/13,185 = 13,185/x
3. Step 3: Cross multiply
   9,750x = 13,185 × 13,185
4. Step 4: Simplify right side
   9,750x = 173,844,225
5. Step 5: Solve for x
   x = 173,844,225/9,750
6. Step 6: Final answer
   x = 17,830.18