Finding the Third Proportional to 756 and 1,656.56

Step by Step Solution

1. Step 1: Write the proportion equation
   756 : 1,656.56 = 1,656.56 : x
2. Step 2: Convert to fraction form
   756/1,656.56 = 1,656.56/x
3. Step 3: Cross multiply
   756x = 1,656.56 × 1,656.56
4. Step 4: Simplify right side
   756x = 2,744,199.32
5. Step 5: Solve for x
   x = 2,744,199.32/756
6. Step 6: Final answer
   x = 3,629.89