Finding the Third Proportional to 3,486 and 5,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,486 : 5,410.50 = 5,410.50 : x
2. Step 2: Convert to fraction form
   3,486/5,410.50 = 5,410.50/x
3. Step 3: Cross multiply
   3,486x = 5,410.50 × 5,410.50
4. Step 4: Simplify right side
   3,486x = 29,273,510.25
5. Step 5: Solve for x
   x = 29,273,510.25/3,486
6. Step 6: Final answer
   x = 8,397.45