Finding the Third Proportional to 10,219.50 and 13,223.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,219.50 : 13,223.25 = 13,223.25 : x
2. Step 2: Convert to fraction form
   10,219.50/13,223.25 = 13,223.25/x
3. Step 3: Cross multiply
   10,219.50x = 13,223.25 × 13,223.25
4. Step 4: Simplify right side
   10,219.50x = 174,854,340.56
5. Step 5: Solve for x
   x = 174,854,340.56/10,219.50
6. Step 6: Final answer
   x = 17,109.87