Finding the Third Proportional to 13,707 and 18,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,707 : 18,574.50 = 18,574.50 : x
2. Step 2: Convert to fraction form
   13,707/18,574.50 = 18,574.50/x
3. Step 3: Cross multiply
   13,707x = 18,574.50 × 18,574.50
4. Step 4: Simplify right side
   13,707x = 345,012,050.25
5. Step 5: Solve for x
   x = 345,012,050.25/13,707
6. Step 6: Final answer
   x = 25,170.50