Finding the Third Proportional to 13,219.50 and 19,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,219.50 : 19,099.50 = 19,099.50 : x
2. Step 2: Convert to fraction form
   13,219.50/19,099.50 = 19,099.50/x
3. Step 3: Cross multiply
   13,219.50x = 19,099.50 × 19,099.50
4. Step 4: Simplify right side
   13,219.50x = 364,790,900.25
5. Step 5: Solve for x
   x = 364,790,900.25/13,219.50
6. Step 6: Final answer
   x = 27,594.91