Finding the Third Proportional to 24,065 and 37,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,065 : 37,190.50 = 37,190.50 : x
2. Step 2: Convert to fraction form
   24,065/37,190.50 = 37,190.50/x
3. Step 3: Cross multiply
   24,065x = 37,190.50 × 37,190.50
4. Step 4: Simplify right side
   24,065x = 1,383,133,290.25
5. Step 5: Solve for x
   x = 1,383,133,290.25/24,065
6. Step 6: Final answer
   x = 57,474.89