Finding the Third Proportional to 10,228.50 and 13,323

Step by Step Solution

1. Step 1: Write the proportion equation
   10,228.50 : 13,323 = 13,323 : x
2. Step 2: Convert to fraction form
   10,228.50/13,323 = 13,323/x
3. Step 3: Cross multiply
   10,228.50x = 13,323 × 13,323
4. Step 4: Simplify right side
   10,228.50x = 177,502,329
5. Step 5: Solve for x
   x = 177,502,329/10,228.50
6. Step 6: Final answer
   x = 17,353.70