Finding the Third Proportional to 10,185.75 and 13,630.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.75 : 13,630.78 = 13,630.78 : x
2. Step 2: Convert to fraction form
   10,185.75/13,630.78 = 13,630.78/x
3. Step 3: Cross multiply
   10,185.75x = 13,630.78 × 13,630.78
4. Step 4: Simplify right side
   10,185.75x = 185,798,197.49
5. Step 5: Solve for x
   x = 185,798,197.49/10,185.75
6. Step 6: Final answer
   x = 18,240.99