Finding the Third Proportional to 4,184 and 9,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,184 : 9,016.50 = 9,016.50 : x
2. Step 2: Convert to fraction form
   4,184/9,016.50 = 9,016.50/x
3. Step 3: Cross multiply
   4,184x = 9,016.50 × 9,016.50
4. Step 4: Simplify right side
   4,184x = 81,297,272.25
5. Step 5: Solve for x
   x = 81,297,272.25/4,184
6. Step 6: Final answer
   x = 19,430.51