Finding the Third Proportional to 756.56 and 1,604.06

Step by Step Solution

1. Step 1: Write the proportion equation
   756.56 : 1,604.06 = 1,604.06 : x
2. Step 2: Convert to fraction form
   756.56/1,604.06 = 1,604.06/x
3. Step 3: Cross multiply
   756.56x = 1,604.06 × 1,604.06
4. Step 4: Simplify right side
   756.56x = 2,573,016.50
5. Step 5: Solve for x
   x = 2,573,016.50/756.56
6. Step 6: Final answer
   x = 3,400.93