Finding the Third Proportional to 2,009.25 and 2,666.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009.25 : 2,666.25 = 2,666.25 : x
2. Step 2: Convert to fraction form
   2,009.25/2,666.25 = 2,666.25/x
3. Step 3: Cross multiply
   2,009.25x = 2,666.25 × 2,666.25
4. Step 4: Simplify right side
   2,009.25x = 7,108,889.06
5. Step 5: Solve for x
   x = 7,108,889.06/2,009.25
6. Step 6: Final answer
   x = 3,538.08