Finding the Third Proportional to 19,089 and 41,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,089 : 41,458.50 = 41,458.50 : x
2. Step 2: Convert to fraction form
   19,089/41,458.50 = 41,458.50/x
3. Step 3: Cross multiply
   19,089x = 41,458.50 × 41,458.50
4. Step 4: Simplify right side
   19,089x = 1,718,807,222.25
5. Step 5: Solve for x
   x = 1,718,807,222.25/19,089
6. Step 6: Final answer
   x = 90,041.76