Finding the Third Proportional to 2,688 and 4,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,688 : 4,006.50 = 4,006.50 : x
2. Step 2: Convert to fraction form
   2,688/4,006.50 = 4,006.50/x
3. Step 3: Cross multiply
   2,688x = 4,006.50 × 4,006.50
4. Step 4: Simplify right side
   2,688x = 16,052,042.25
5. Step 5: Solve for x
   x = 16,052,042.25/2,688
6. Step 6: Final answer
   x = 5,971.74