Finding the Third Proportional to 8,120.50 and 17,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,120.50 : 17,494.50 = 17,494.50 : x
2. Step 2: Convert to fraction form
   8,120.50/17,494.50 = 17,494.50/x
3. Step 3: Cross multiply
   8,120.50x = 17,494.50 × 17,494.50
4. Step 4: Simplify right side
   8,120.50x = 306,057,530.25
5. Step 5: Solve for x
   x = 306,057,530.25/8,120.50
6. Step 6: Final answer
   x = 37,689.49