Finding the Third Proportional to 2,006 and 2,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006 : 2,662.50 = 2,662.50 : x
2. Step 2: Convert to fraction form
   2,006/2,662.50 = 2,662.50/x
3. Step 3: Cross multiply
   2,006x = 2,662.50 × 2,662.50
4. Step 4: Simplify right side
   2,006x = 7,088,906.25
5. Step 5: Solve for x
   x = 7,088,906.25/2,006
6. Step 6: Final answer
   x = 3,533.85