Finding the Third Proportional to 8,118 and 17,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,118 : 17,464.50 = 17,464.50 : x
2. Step 2: Convert to fraction form
   8,118/17,464.50 = 17,464.50/x
3. Step 3: Cross multiply
   8,118x = 17,464.50 × 17,464.50
4. Step 4: Simplify right side
   8,118x = 305,008,760.25
5. Step 5: Solve for x
   x = 305,008,760.25/8,118
6. Step 6: Final answer
   x = 37,571.91