Finding the Third Proportional to 1,320 and 3,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,320 : 3,466.50 = 3,466.50 : x
2. Step 2: Convert to fraction form
   1,320/3,466.50 = 3,466.50/x
3. Step 3: Cross multiply
   1,320x = 3,466.50 × 3,466.50
4. Step 4: Simplify right side
   1,320x = 12,016,622.25
5. Step 5: Solve for x
   x = 12,016,622.25/1,320
6. Step 6: Final answer
   x = 9,103.50