Finding the Third Proportional to 3,647.50 and 5,470

Step by Step Solution

1. Step 1: Write the proportion equation
   3,647.50 : 5,470 = 5,470 : x
2. Step 2: Convert to fraction form
   3,647.50/5,470 = 5,470/x
3. Step 3: Cross multiply
   3,647.50x = 5,470 × 5,470
4. Step 4: Simplify right side
   3,647.50x = 29,920,900
5. Step 5: Solve for x
   x = 29,920,900/3,647.50
6. Step 6: Final answer
   x = 8,203.13