Finding the Third Proportional to 1,477.50 and 3,474

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.50 : 3,474 = 3,474 : x
2. Step 2: Convert to fraction form
   1,477.50/3,474 = 3,474/x
3. Step 3: Cross multiply
   1,477.50x = 3,474 × 3,474
4. Step 4: Simplify right side
   1,477.50x = 12,068,676
5. Step 5: Solve for x
   x = 12,068,676/1,477.50
6. Step 6: Final answer
   x = 8,168.31