Finding the Third Proportional to 2,006.75 and 2,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.75 : 2,663.50 = 2,663.50 : x
2. Step 2: Convert to fraction form
   2,006.75/2,663.50 = 2,663.50/x
3. Step 3: Cross multiply
   2,006.75x = 2,663.50 × 2,663.50
4. Step 4: Simplify right side
   2,006.75x = 7,094,232.25
5. Step 5: Solve for x
   x = 7,094,232.25/2,006.75
6. Step 6: Final answer
   x = 3,535.18