Finding the Third Proportional to 4,185.50 and 9,099

Step by Step Solution

1. Step 1: Write the proportion equation
   4,185.50 : 9,099 = 9,099 : x
2. Step 2: Convert to fraction form
   4,185.50/9,099 = 9,099/x
3. Step 3: Cross multiply
   4,185.50x = 9,099 × 9,099
4. Step 4: Simplify right side
   4,185.50x = 82,791,801
5. Step 5: Solve for x
   x = 82,791,801/4,185.50
6. Step 6: Final answer
   x = 19,780.62