Finding the Third Proportional to 9,006 and 19,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,006 : 19,399.50 = 19,399.50 : x
2. Step 2: Convert to fraction form
   9,006/19,399.50 = 19,399.50/x
3. Step 3: Cross multiply
   9,006x = 19,399.50 × 19,399.50
4. Step 4: Simplify right side
   9,006x = 376,340,600.25
5. Step 5: Solve for x
   x = 376,340,600.25/9,006
6. Step 6: Final answer
   x = 41,787.76