Finding the Third Proportional to 2,666.50 and 4,150.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,666.50 : 4,150.75 = 4,150.75 : x
2. Step 2: Convert to fraction form
   2,666.50/4,150.75 = 4,150.75/x
3. Step 3: Cross multiply
   2,666.50x = 4,150.75 × 4,150.75
4. Step 4: Simplify right side
   2,666.50x = 17,228,725.56
5. Step 5: Solve for x
   x = 17,228,725.56/2,666.50
6. Step 6: Final answer
   x = 6,461.18