Finding the Third Proportional to 2,011 and 2,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,011 : 2,669.50 = 2,669.50 : x
2. Step 2: Convert to fraction form
   2,011/2,669.50 = 2,669.50/x
3. Step 3: Cross multiply
   2,011x = 2,669.50 × 2,669.50
4. Step 4: Simplify right side
   2,011x = 7,126,230.25
5. Step 5: Solve for x
   x = 7,126,230.25/2,011
6. Step 6: Final answer
   x = 3,543.63