Finding the Third Proportional to 2,552.50 and 4,072

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.50 : 4,072 = 4,072 : x
2. Step 2: Convert to fraction form
   2,552.50/4,072 = 4,072/x
3. Step 3: Cross multiply
   2,552.50x = 4,072 × 4,072
4. Step 4: Simplify right side
   2,552.50x = 16,581,184
5. Step 5: Solve for x
   x = 16,581,184/2,552.50
6. Step 6: Final answer
   x = 6,496.06