Finding the Third Proportional to 1,323 and 3,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323 : 3,190.50 = 3,190.50 : x
2. Step 2: Convert to fraction form
   1,323/3,190.50 = 3,190.50/x
3. Step 3: Cross multiply
   1,323x = 3,190.50 × 3,190.50
4. Step 4: Simplify right side
   1,323x = 10,179,290.25
5. Step 5: Solve for x
   x = 10,179,290.25/1,323
6. Step 6: Final answer
   x = 7,694.10