Finding the Third Proportional to 8,303.50 and 12,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,303.50 : 12,698.50 = 12,698.50 : x
2. Step 2: Convert to fraction form
   8,303.50/12,698.50 = 12,698.50/x
3. Step 3: Cross multiply
   8,303.50x = 12,698.50 × 12,698.50
4. Step 4: Simplify right side
   8,303.50x = 161,251,902.25
5. Step 5: Solve for x
   x = 161,251,902.25/8,303.50
6. Step 6: Final answer
   x = 19,419.75