Finding the Third Proportional to 8,574 and 17,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,574 : 17,386.50 = 17,386.50 : x
2. Step 2: Convert to fraction form
   8,574/17,386.50 = 17,386.50/x
3. Step 3: Cross multiply
   8,574x = 17,386.50 × 17,386.50
4. Step 4: Simplify right side
   8,574x = 302,290,382.25
5. Step 5: Solve for x
   x = 302,290,382.25/8,574
6. Step 6: Final answer
   x = 35,256.63