Finding the Third Proportional to 9,019 and 19,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,019 : 19,833.50 = 19,833.50 : x
2. Step 2: Convert to fraction form
   9,019/19,833.50 = 19,833.50/x
3. Step 3: Cross multiply
   9,019x = 19,833.50 × 19,833.50
4. Step 4: Simplify right side
   9,019x = 393,367,722.25
5. Step 5: Solve for x
   x = 393,367,722.25/9,019
6. Step 6: Final answer
   x = 43,615.45