Finding the Third Proportional to 2,405 and 4,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,405 : 4,191.50 = 4,191.50 : x
2. Step 2: Convert to fraction form
   2,405/4,191.50 = 4,191.50/x
3. Step 3: Cross multiply
   2,405x = 4,191.50 × 4,191.50
4. Step 4: Simplify right side
   2,405x = 17,568,672.25
5. Step 5: Solve for x
   x = 17,568,672.25/2,405
6. Step 6: Final answer
   x = 7,305.06