Finding the Third Proportional to 8,189.25 and 12,599.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,189.25 : 12,599.25 = 12,599.25 : x
2. Step 2: Convert to fraction form
   8,189.25/12,599.25 = 12,599.25/x
3. Step 3: Cross multiply
   8,189.25x = 12,599.25 × 12,599.25
4. Step 4: Simplify right side
   8,189.25x = 158,741,100.56
5. Step 5: Solve for x
   x = 158,741,100.56/8,189.25
6. Step 6: Final answer
   x = 19,384.08