Finding the Third Proportional to 1,340.50 and 3,229

Step by Step Solution

1. Step 1: Write the proportion equation
   1,340.50 : 3,229 = 3,229 : x
2. Step 2: Convert to fraction form
   1,340.50/3,229 = 3,229/x
3. Step 3: Cross multiply
   1,340.50x = 3,229 × 3,229
4. Step 4: Simplify right side
   1,340.50x = 10,426,441
5. Step 5: Solve for x
   x = 10,426,441/1,340.50
6. Step 6: Final answer
   x = 7,778.02