Finding the Third Proportional to 8,184.38 and 17,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,184.38 : 17,563.50 = 17,563.50 : x
2. Step 2: Convert to fraction form
   8,184.38/17,563.50 = 17,563.50/x
3. Step 3: Cross multiply
   8,184.38x = 17,563.50 × 17,563.50
4. Step 4: Simplify right side
   8,184.38x = 308,476,532.25
5. Step 5: Solve for x
   x = 308,476,532.25/8,184.38
6. Step 6: Final answer
   x = 37,690.91